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Finding the Fourth Proportional to 36,878.70, 55,322.10 and 13,510.20

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Solution

The fourth proportional to 36,878.70, 55,322.10 and 13,510.20 is: 20,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878.70 : 55,322.10 = 13,510.20 : x
  2. Step 2: Convert to fraction form
    36,878.70/55,322.10 = 13,510.20/x
  3. Step 3: Cross multiply
    36,878.70x = 55,322.10 × 13,510.20
  4. Step 4: Simplify right side
    36,878.70x = 747,412,635.42
  5. Step 5: Solve for x
    x = 747,412,635.42/36,878.70
  6. Step 6: Final answer
    x = 20,266.78

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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.