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Finding the Fourth Proportional to 125,785.98, 188,678.98 and 32,291.74

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Solution

The fourth proportional to 125,785.98, 188,678.98 and 32,291.74 is: 48,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,785.98 : 188,678.98 = 32,291.74 : x
  2. Step 2: Convert to fraction form
    125,785.98/188,678.98 = 32,291.74/x
  3. Step 3: Cross multiply
    125,785.98x = 188,678.98 × 32,291.74
  4. Step 4: Simplify right side
    125,785.98x = 6,092,772,565.63
  5. Step 5: Solve for x
    x = 6,092,772,565.63/125,785.98
  6. Step 6: Final answer
    x = 48,437.61

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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.