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Finding the Fourth Proportional to 81,781.38, 112,943.97 and 56,353.86

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Solution

The fourth proportional to 81,781.38, 112,943.97 and 56,353.86 is: 77,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,781.38 : 112,943.97 = 56,353.86 : x
  2. Step 2: Convert to fraction form
    81,781.38/112,943.97 = 56,353.86/x
  3. Step 3: Cross multiply
    81,781.38x = 112,943.97 × 56,353.86
  4. Step 4: Simplify right side
    81,781.38x = 6,364,828,673.22
  5. Step 5: Solve for x
    x = 6,364,828,673.22/81,781.38
  6. Step 6: Final answer
    x = 77,827.36

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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.