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Finding the Fourth Proportional to 125,181.83, 187,772.88 and 31,687.58

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Solution

The fourth proportional to 125,181.83, 187,772.88 and 31,687.58 is: 47,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,181.83 : 187,772.88 = 31,687.58 : x
  2. Step 2: Convert to fraction form
    125,181.83/187,772.88 = 31,687.58/x
  3. Step 3: Cross multiply
    125,181.83x = 187,772.88 × 31,687.58
  4. Step 4: Simplify right side
    125,181.83x = 5,950,068,156.83
  5. Step 5: Solve for x
    x = 5,950,068,156.83/125,181.83
  6. Step 6: Final answer
    x = 47,531.40

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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.