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Finding the Fourth Proportional to 36,902.70, 55,358.10 and 13,534.20

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Solution

The fourth proportional to 36,902.70, 55,358.10 and 13,534.20 is: 20,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.70 : 55,358.10 = 13,534.20 : x
  2. Step 2: Convert to fraction form
    36,902.70/55,358.10 = 13,534.20/x
  3. Step 3: Cross multiply
    36,902.70x = 55,358.10 × 13,534.20
  4. Step 4: Simplify right side
    36,902.70x = 749,227,597.02
  5. Step 5: Solve for x
    x = 749,227,597.02/36,902.70
  6. Step 6: Final answer
    x = 20,302.79

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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.