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Finding the Fourth Proportional to 64,512,000.30, 96,768,000.45 and 21,961,728.30

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Solution

The fourth proportional to 64,512,000.30, 96,768,000.45 and 21,961,728.30 is: 32,942,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512,000.30 : 96,768,000.45 = 21,961,728.30 : x
  2. Step 2: Convert to fraction form
    64,512,000.30/96,768,000.45 = 21,961,728.30/x
  3. Step 3: Cross multiply
    64,512,000.30x = 96,768,000.45 × 21,961,728.30
  4. Step 4: Simplify right side
    64,512,000.30x = 2,125,192,534,017,177.75
  5. Step 5: Solve for x
    x = 2,125,192,534,017,177.75/64,512,000.30
  6. Step 6: Final answer
    x = 32,942,592.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.