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Finding the Fourth Proportional to 102,450.14, 153,702.57 and 32,330.78

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Solution

The fourth proportional to 102,450.14, 153,702.57 and 32,330.78 is: 48,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450.14 : 153,702.57 = 32,330.78 : x
  2. Step 2: Convert to fraction form
    102,450.14/153,702.57 = 32,330.78/x
  3. Step 3: Cross multiply
    102,450.14x = 153,702.57 × 32,330.78
  4. Step 4: Simplify right side
    102,450.14x = 4,969,323,976.10
  5. Step 5: Solve for x
    x = 4,969,323,976.10/102,450.14
  6. Step 6: Final answer
    x = 48,504.80

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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.