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Finding the Fourth Proportional to 125,749.40, 188,624.16 and 32,255.18

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Solution

The fourth proportional to 125,749.40, 188,624.16 and 32,255.18 is: 48,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,749.40 : 188,624.16 = 32,255.18 : x
  2. Step 2: Convert to fraction form
    125,749.40/188,624.16 = 32,255.18/x
  3. Step 3: Cross multiply
    125,749.40x = 188,624.16 × 32,255.18
  4. Step 4: Simplify right side
    125,749.40x = 6,084,106,233.15
  5. Step 5: Solve for x
    x = 6,084,106,233.15/125,749.40
  6. Step 6: Final answer
    x = 48,382.79

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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.