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Finding the Fourth Proportional to 55,931.74, 77,151.96 and 35,781.57

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Solution

The fourth proportional to 55,931.74, 77,151.96 and 35,781.57 is: 49,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931.74 : 77,151.96 = 35,781.57 : x
  2. Step 2: Convert to fraction form
    55,931.74/77,151.96 = 35,781.57/x
  3. Step 3: Cross multiply
    55,931.74x = 77,151.96 × 35,781.57
  4. Step 4: Simplify right side
    55,931.74x = 2,760,618,257.38
  5. Step 5: Solve for x
    x = 2,760,618,257.38/55,931.74
  6. Step 6: Final answer
    x = 49,356.92

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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.