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Finding the Fourth Proportional to 125,841.54, 188,764.74 and 32,344.86

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Solution

The fourth proportional to 125,841.54, 188,764.74 and 32,344.86 is: 48,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,841.54 : 188,764.74 = 32,344.86 : x
  2. Step 2: Convert to fraction form
    125,841.54/188,764.74 = 32,344.86/x
  3. Step 3: Cross multiply
    125,841.54x = 188,764.74 × 32,344.86
  4. Step 4: Simplify right side
    125,841.54x = 6,105,569,088.24
  5. Step 5: Solve for x
    x = 6,105,569,088.24/125,841.54
  6. Step 6: Final answer
    x = 48,517.91

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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.