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Finding the Fourth Proportional to 32,033.40, 47,983.13 and 25,759.47

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Solution

The fourth proportional to 32,033.40, 47,983.13 and 25,759.47 is: 38,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.40 : 47,983.13 = 25,759.47 : x
  2. Step 2: Convert to fraction form
    32,033.40/47,983.13 = 25,759.47/x
  3. Step 3: Cross multiply
    32,033.40x = 47,983.13 × 25,759.47
  4. Step 4: Simplify right side
    32,033.40x = 1,236,019,997.74
  5. Step 5: Solve for x
    x = 1,236,019,997.74/32,033.40
  6. Step 6: Final answer
    x = 38,585.35

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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.