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Finding the Fourth Proportional to 32,689.28, 49,023.84 and 17,098.40

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Solution

The fourth proportional to 32,689.28, 49,023.84 and 17,098.40 is: 25,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.28 : 49,023.84 = 17,098.40 : x
  2. Step 2: Convert to fraction form
    32,689.28/49,023.84 = 17,098.40/x
  3. Step 3: Cross multiply
    32,689.28x = 49,023.84 × 17,098.40
  4. Step 4: Simplify right side
    32,689.28x = 838,229,225.86
  5. Step 5: Solve for x
    x = 838,229,225.86/32,689.28
  6. Step 6: Final answer
    x = 25,642.33

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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.