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Finding the Fourth Proportional to 64,147.20, 96,220.80 and 48,595.20

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Solution

The fourth proportional to 64,147.20, 96,220.80 and 48,595.20 is: 72,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,147.20 : 96,220.80 = 48,595.20 : x
  2. Step 2: Convert to fraction form
    64,147.20/96,220.80 = 48,595.20/x
  3. Step 3: Cross multiply
    64,147.20x = 96,220.80 × 48,595.20
  4. Step 4: Simplify right side
    64,147.20x = 4,675,869,020.16
  5. Step 5: Solve for x
    x = 4,675,869,020.16/64,147.20
  6. Step 6: Final answer
    x = 72,892.80

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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.