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Finding the Fourth Proportional to 96,384.40, 144,523.92 and 53,702.80

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Solution

The fourth proportional to 96,384.40, 144,523.92 and 53,702.80 is: 80,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384.40 : 144,523.92 = 53,702.80 : x
  2. Step 2: Convert to fraction form
    96,384.40/144,523.92 = 53,702.80/x
  3. Step 3: Cross multiply
    96,384.40x = 144,523.92 × 53,702.80
  4. Step 4: Simplify right side
    96,384.40x = 7,761,339,170.98
  5. Step 5: Solve for x
    x = 7,761,339,170.98/96,384.40
  6. Step 6: Final answer
    x = 80,524.85

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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.