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Finding the Fourth Proportional to 36,436.88, 54,655.31 and 10,142.30

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Solution

The fourth proportional to 36,436.88, 54,655.31 and 10,142.30 is: 15,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,436.88 : 54,655.31 = 10,142.30 : x
  2. Step 2: Convert to fraction form
    36,436.88/54,655.31 = 10,142.30/x
  3. Step 3: Cross multiply
    36,436.88x = 54,655.31 × 10,142.30
  4. Step 4: Simplify right side
    36,436.88x = 554,330,610.13
  5. Step 5: Solve for x
    x = 554,330,610.13/36,436.88
  6. Step 6: Final answer
    x = 15,213.45

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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.