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Finding the Fourth Proportional to 32,209.52, 48,328.19 and 17,428.87

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Solution

The fourth proportional to 32,209.52, 48,328.19 and 17,428.87 is: 26,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.52 : 48,328.19 = 17,428.87 : x
  2. Step 2: Convert to fraction form
    32,209.52/48,328.19 = 17,428.87/x
  3. Step 3: Cross multiply
    32,209.52x = 48,328.19 × 17,428.87
  4. Step 4: Simplify right side
    32,209.52x = 842,305,412.06
  5. Step 5: Solve for x
    x = 842,305,412.06/32,209.52
  6. Step 6: Final answer
    x = 26,150.82

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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.