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Finding the Fourth Proportional to 125,951.86, 188,952.70 and 35,995.38

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Solution

The fourth proportional to 125,951.86, 188,952.70 and 35,995.38 is: 54,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,951.86 : 188,952.70 = 35,995.38 : x
  2. Step 2: Convert to fraction form
    125,951.86/188,952.70 = 35,995.38/x
  3. Step 3: Cross multiply
    125,951.86x = 188,952.70 × 35,995.38
  4. Step 4: Simplify right side
    125,951.86x = 6,801,424,238.53
  5. Step 5: Solve for x
    x = 6,801,424,238.53/125,951.86
  6. Step 6: Final answer
    x = 54,000.19

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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.