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Finding the Fourth Proportional to 64,122.72, 96,174.36 and 22,560

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Solution

The fourth proportional to 64,122.72, 96,174.36 and 22,560 is: 33,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122.72 : 96,174.36 = 22,560 : x
  2. Step 2: Convert to fraction form
    64,122.72/96,174.36 = 22,560/x
  3. Step 3: Cross multiply
    64,122.72x = 96,174.36 × 22,560
  4. Step 4: Simplify right side
    64,122.72x = 2,169,693,561.60
  5. Step 5: Solve for x
    x = 2,169,693,561.60/64,122.72
  6. Step 6: Final answer
    x = 33,836.58

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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.