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Finding the Fourth Proportional to 39,585.38, 59,380.50 and 17,409.20

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Solution

The fourth proportional to 39,585.38, 59,380.50 and 17,409.20 is: 26,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,585.38 : 59,380.50 = 17,409.20 : x
  2. Step 2: Convert to fraction form
    39,585.38/59,380.50 = 17,409.20/x
  3. Step 3: Cross multiply
    39,585.38x = 59,380.50 × 17,409.20
  4. Step 4: Simplify right side
    39,585.38x = 1,033,767,000.60
  5. Step 5: Solve for x
    x = 1,033,767,000.60/39,585.38
  6. Step 6: Final answer
    x = 26,114.87

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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.