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Finding the Fourth Proportional to 55,531, 83,305.17 and 18,082.24

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Solution

The fourth proportional to 55,531, 83,305.17 and 18,082.24 is: 27,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,531 : 83,305.17 = 18,082.24 : x
  2. Step 2: Convert to fraction form
    55,531/83,305.17 = 18,082.24/x
  3. Step 3: Cross multiply
    55,531x = 83,305.17 × 18,082.24
  4. Step 4: Simplify right side
    55,531x = 1,506,344,077.18
  5. Step 5: Solve for x
    x = 1,506,344,077.18/55,531
  6. Step 6: Final answer
    x = 27,126.18

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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.