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Finding the Fourth Proportional to 32,146.26, 48,219.42 and 8,772.90

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Solution

The fourth proportional to 32,146.26, 48,219.42 and 8,772.90 is: 13,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.26 : 48,219.42 = 8,772.90 : x
  2. Step 2: Convert to fraction form
    32,146.26/48,219.42 = 8,772.90/x
  3. Step 3: Cross multiply
    32,146.26x = 48,219.42 × 8,772.90
  4. Step 4: Simplify right side
    32,146.26x = 423,024,149.72
  5. Step 5: Solve for x
    x = 423,024,149.72/32,146.26
  6. Step 6: Final answer
    x = 13,159.36

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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.