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Finding the Fourth Proportional to 48,762.81, 67,293.99 and 27,542.16

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Solution

The fourth proportional to 48,762.81, 67,293.99 and 27,542.16 is: 38,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762.81 : 67,293.99 = 27,542.16 : x
  2. Step 2: Convert to fraction form
    48,762.81/67,293.99 = 27,542.16/x
  3. Step 3: Cross multiply
    48,762.81x = 67,293.99 × 27,542.16
  4. Step 4: Simplify right side
    48,762.81x = 1,853,421,839.62
  5. Step 5: Solve for x
    x = 1,853,421,839.62/48,762.81
  6. Step 6: Final answer
    x = 38,008.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.