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Finding the Fourth Proportional to 45,726.32, 63,123.88 and 34,400.12

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Solution

The fourth proportional to 45,726.32, 63,123.88 and 34,400.12 is: 47,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,726.32 : 63,123.88 = 34,400.12 : x
  2. Step 2: Convert to fraction form
    45,726.32/63,123.88 = 34,400.12/x
  3. Step 3: Cross multiply
    45,726.32x = 63,123.88 × 34,400.12
  4. Step 4: Simplify right side
    45,726.32x = 2,171,469,046.87
  5. Step 5: Solve for x
    x = 2,171,469,046.87/45,726.32
  6. Step 6: Final answer
    x = 47,488.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.