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Finding the Fourth Proportional to 100,638.64, 150,726.50 and 58,414.15

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Solution

The fourth proportional to 100,638.64, 150,726.50 and 58,414.15 is: 87,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638.64 : 150,726.50 = 58,414.15 : x
  2. Step 2: Convert to fraction form
    100,638.64/150,726.50 = 58,414.15/x
  3. Step 3: Cross multiply
    100,638.64x = 150,726.50 × 58,414.15
  4. Step 4: Simplify right side
    100,638.64x = 8,804,560,379.98
  5. Step 5: Solve for x
    x = 8,804,560,379.98/100,638.64
  6. Step 6: Final answer
    x = 87,486.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.