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Finding the Fourth Proportional to 34,355.68, 51,531.78 and 20,132.20

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Solution

The fourth proportional to 34,355.68, 51,531.78 and 20,132.20 is: 30,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,355.68 : 51,531.78 = 20,132.20 : x
  2. Step 2: Convert to fraction form
    34,355.68/51,531.78 = 20,132.20/x
  3. Step 3: Cross multiply
    34,355.68x = 51,531.78 × 20,132.20
  4. Step 4: Simplify right side
    34,355.68x = 1,037,448,101.32
  5. Step 5: Solve for x
    x = 1,037,448,101.32/34,355.68
  6. Step 6: Final answer
    x = 30,197.28

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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.