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Finding the Fourth Proportional to 125,194.32, 187,791.80 and 31,700.08

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Solution

The fourth proportional to 125,194.32, 187,791.80 and 31,700.08 is: 47,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.32 : 187,791.80 = 31,700.08 : x
  2. Step 2: Convert to fraction form
    125,194.32/187,791.80 = 31,700.08/x
  3. Step 3: Cross multiply
    125,194.32x = 187,791.80 × 31,700.08
  4. Step 4: Simplify right side
    125,194.32x = 5,953,015,083.34
  5. Step 5: Solve for x
    x = 5,953,015,083.34/125,194.32
  6. Step 6: Final answer
    x = 47,550.20

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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.