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Finding the Fourth Proportional to 125,194.32, 187,798.32 and 31,700.88

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Solution

The fourth proportional to 125,194.32, 187,798.32 and 31,700.88 is: 47,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.32 : 187,798.32 = 31,700.88 : x
  2. Step 2: Convert to fraction form
    125,194.32/187,798.32 = 31,700.88/x
  3. Step 3: Cross multiply
    125,194.32x = 187,798.32 × 31,700.88
  4. Step 4: Simplify right side
    125,194.32x = 5,953,372,006.52
  5. Step 5: Solve for x
    x = 5,953,372,006.52/125,194.32
  6. Step 6: Final answer
    x = 47,553.05

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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.