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Finding the Fourth Proportional to 64,501.71, 96,727.97 and 30,761.78

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Solution

The fourth proportional to 64,501.71, 96,727.97 and 30,761.78 is: 46,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,501.71 : 96,727.97 = 30,761.78 : x
  2. Step 2: Convert to fraction form
    64,501.71/96,727.97 = 30,761.78/x
  3. Step 3: Cross multiply
    64,501.71x = 96,727.97 × 30,761.78
  4. Step 4: Simplify right side
    64,501.71x = 2,975,523,895.54
  5. Step 5: Solve for x
    x = 2,975,523,895.54/64,501.71
  6. Step 6: Final answer
    x = 46,130.93

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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.