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Finding the Fourth Proportional to 45,120, 67,689.41 and 13,528.78

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Solution

The fourth proportional to 45,120, 67,689.41 and 13,528.78 is: 20,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,120 : 67,689.41 = 13,528.78 : x
  2. Step 2: Convert to fraction form
    45,120/67,689.41 = 13,528.78/x
  3. Step 3: Cross multiply
    45,120x = 67,689.41 × 13,528.78
  4. Step 4: Simplify right side
    45,120x = 915,755,136.22
  5. Step 5: Solve for x
    x = 915,755,136.22/45,120
  6. Step 6: Final answer
    x = 20,295.99

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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.