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Finding the Fourth Proportional to 36,915.82, 55,381.02 and 13,542.46

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Solution

The fourth proportional to 36,915.82, 55,381.02 and 13,542.46 is: 20,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,915.82 : 55,381.02 = 13,542.46 : x
  2. Step 2: Convert to fraction form
    36,915.82/55,381.02 = 13,542.46/x
  3. Step 3: Cross multiply
    36,915.82x = 55,381.02 × 13,542.46
  4. Step 4: Simplify right side
    36,915.82x = 749,995,248.11
  5. Step 5: Solve for x
    x = 749,995,248.11/36,915.82
  6. Step 6: Final answer
    x = 20,316.36

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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.