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Finding the Fourth Proportional to 91,878.30, 137,781.77 and 35,710.97

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Solution

The fourth proportional to 91,878.30, 137,781.77 and 35,710.97 is: 53,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,878.30 : 137,781.77 = 35,710.97 : x
  2. Step 2: Convert to fraction form
    91,878.30/137,781.77 = 35,710.97/x
  3. Step 3: Cross multiply
    91,878.30x = 137,781.77 × 35,710.97
  4. Step 4: Simplify right side
    91,878.30x = 4,920,319,787.55
  5. Step 5: Solve for x
    x = 4,920,319,787.55/91,878.30
  6. Step 6: Final answer
    x = 53,552.58

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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.