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Finding the Fourth Proportional to 106,342.20, 159,504.30 and 32,470.20

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Solution

The fourth proportional to 106,342.20, 159,504.30 and 32,470.20 is: 48,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.20 : 159,504.30 = 32,470.20 : x
  2. Step 2: Convert to fraction form
    106,342.20/159,504.30 = 32,470.20/x
  3. Step 3: Cross multiply
    106,342.20x = 159,504.30 × 32,470.20
  4. Step 4: Simplify right side
    106,342.20x = 5,179,136,521.86
  5. Step 5: Solve for x
    x = 5,179,136,521.86/106,342.20
  6. Step 6: Final answer
    x = 48,702.55

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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.