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Finding the Fourth Proportional to 48,781.74, 67,329.66 and 29,657.47

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Solution

The fourth proportional to 48,781.74, 67,329.66 and 29,657.47 is: 40,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,781.74 : 67,329.66 = 29,657.47 : x
  2. Step 2: Convert to fraction form
    48,781.74/67,329.66 = 29,657.47/x
  3. Step 3: Cross multiply
    48,781.74x = 67,329.66 × 29,657.47
  4. Step 4: Simplify right side
    48,781.74x = 1,996,827,277.38
  5. Step 5: Solve for x
    x = 1,996,827,277.38/48,781.74
  6. Step 6: Final answer
    x = 40,933.91

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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.