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Finding the Fourth Proportional to 38,782.50, 58,173.75 and 12,489.90

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Solution

The fourth proportional to 38,782.50, 58,173.75 and 12,489.90 is: 18,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.50 : 58,173.75 = 12,489.90 : x
  2. Step 2: Convert to fraction form
    38,782.50/58,173.75 = 12,489.90/x
  3. Step 3: Cross multiply
    38,782.50x = 58,173.75 × 12,489.90
  4. Step 4: Simplify right side
    38,782.50x = 726,584,320.13
  5. Step 5: Solve for x
    x = 726,584,320.13/38,782.50
  6. Step 6: Final answer
    x = 18,734.85

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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.