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Finding the Fourth Proportional to 102,449.89, 153,702.20 and 32,330.53

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Solution

The fourth proportional to 102,449.89, 153,702.20 and 32,330.53 is: 48,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.89 : 153,702.20 = 32,330.53 : x
  2. Step 2: Convert to fraction form
    102,449.89/153,702.20 = 32,330.53/x
  3. Step 3: Cross multiply
    102,449.89x = 153,702.20 × 32,330.53
  4. Step 4: Simplify right side
    102,449.89x = 4,969,273,588.17
  5. Step 5: Solve for x
    x = 4,969,273,588.17/102,449.89
  6. Step 6: Final answer
    x = 48,504.43

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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.