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Finding the Fourth Proportional to 64,513.28, 96,724.92 and 28,472.24

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Solution

The fourth proportional to 64,513.28, 96,724.92 and 28,472.24 is: 42,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,513.28 : 96,724.92 = 28,472.24 : x
  2. Step 2: Convert to fraction form
    64,513.28/96,724.92 = 28,472.24/x
  3. Step 3: Cross multiply
    64,513.28x = 96,724.92 × 28,472.24
  4. Step 4: Simplify right side
    64,513.28x = 2,753,975,136.22
  5. Step 5: Solve for x
    x = 2,753,975,136.22/64,513.28
  6. Step 6: Final answer
    x = 42,688.50

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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.