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Finding the Fourth Proportional to 125,330, 187,974.84 and 36,562.64

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Solution

The fourth proportional to 125,330, 187,974.84 and 36,562.64 is: 54,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,330 : 187,974.84 = 36,562.64 : x
  2. Step 2: Convert to fraction form
    125,330/187,974.84 = 36,562.64/x
  3. Step 3: Cross multiply
    125,330x = 187,974.84 × 36,562.64
  4. Step 4: Simplify right side
    125,330x = 6,872,856,403.98
  5. Step 5: Solve for x
    x = 6,872,856,403.98/125,330
  6. Step 6: Final answer
    x = 54,838.08

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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.