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Finding the Fourth Proportional to 36,532.02, 54,765.12 and 13,142

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Solution

The fourth proportional to 36,532.02, 54,765.12 and 13,142 is: 19,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532.02 : 54,765.12 = 13,142 : x
  2. Step 2: Convert to fraction form
    36,532.02/54,765.12 = 13,142/x
  3. Step 3: Cross multiply
    36,532.02x = 54,765.12 × 13,142
  4. Step 4: Simplify right side
    36,532.02x = 719,723,207.04
  5. Step 5: Solve for x
    x = 719,723,207.04/36,532.02
  6. Step 6: Final answer
    x = 19,701.16

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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.