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Finding the Fourth Proportional to 125,663.68, 188,494.56 and 32,169.28

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Solution

The fourth proportional to 125,663.68, 188,494.56 and 32,169.28 is: 48,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,663.68 : 188,494.56 = 32,169.28 : x
  2. Step 2: Convert to fraction form
    125,663.68/188,494.56 = 32,169.28/x
  3. Step 3: Cross multiply
    125,663.68x = 188,494.56 × 32,169.28
  4. Step 4: Simplify right side
    125,663.68x = 6,063,734,279.12
  5. Step 5: Solve for x
    x = 6,063,734,279.12/125,663.68
  6. Step 6: Final answer
    x = 48,253.67

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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.