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Finding the Fourth Proportional to 125,763.86, 188,645.93 and 32,269.61

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Solution

The fourth proportional to 125,763.86, 188,645.93 and 32,269.61 is: 48,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,763.86 : 188,645.93 = 32,269.61 : x
  2. Step 2: Convert to fraction form
    125,763.86/188,645.93 = 32,269.61/x
  3. Step 3: Cross multiply
    125,763.86x = 188,645.93 × 32,269.61
  4. Step 4: Simplify right side
    125,763.86x = 6,087,529,484.61
  5. Step 5: Solve for x
    x = 6,087,529,484.61/125,763.86
  6. Step 6: Final answer
    x = 48,404.44

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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.