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Finding the Fourth Proportional to 40,193.36, 60,298.68 and 13,542

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Solution

The fourth proportional to 40,193.36, 60,298.68 and 13,542 is: 20,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193.36 : 60,298.68 = 13,542 : x
  2. Step 2: Convert to fraction form
    40,193.36/60,298.68 = 13,542/x
  3. Step 3: Cross multiply
    40,193.36x = 60,298.68 × 13,542
  4. Step 4: Simplify right side
    40,193.36x = 816,564,775.34
  5. Step 5: Solve for x
    x = 816,564,775.34/40,193.36
  6. Step 6: Final answer
    x = 20,315.91

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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.