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Finding the Fourth Proportional to 125,627.20, 188,446.95 and 50,738

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Solution

The fourth proportional to 125,627.20, 188,446.95 and 50,738 is: 76,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,627.20 : 188,446.95 = 50,738 : x
  2. Step 2: Convert to fraction form
    125,627.20/188,446.95 = 50,738/x
  3. Step 3: Cross multiply
    125,627.20x = 188,446.95 × 50,738
  4. Step 4: Simplify right side
    125,627.20x = 9,561,421,349.10
  5. Step 5: Solve for x
    x = 9,561,421,349.10/125,627.20
  6. Step 6: Final answer
    x = 76,109.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.