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Finding the Fourth Proportional to 125,932.26, 188,876.47 and 47,047.14

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Solution

The fourth proportional to 125,932.26, 188,876.47 and 47,047.14 is: 70,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,932.26 : 188,876.47 = 47,047.14 : x
  2. Step 2: Convert to fraction form
    125,932.26/188,876.47 = 47,047.14/x
  3. Step 3: Cross multiply
    125,932.26x = 188,876.47 × 47,047.14
  4. Step 4: Simplify right side
    125,932.26x = 8,886,097,726.80
  5. Step 5: Solve for x
    x = 8,886,097,726.80/125,932.26
  6. Step 6: Final answer
    x = 70,562.52

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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.