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Finding the Fourth Proportional to 35,082.52, 52,616.28 and 10,117.90

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Solution

The fourth proportional to 35,082.52, 52,616.28 and 10,117.90 is: 15,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.52 : 52,616.28 = 10,117.90 : x
  2. Step 2: Convert to fraction form
    35,082.52/52,616.28 = 10,117.90/x
  3. Step 3: Cross multiply
    35,082.52x = 52,616.28 × 10,117.90
  4. Step 4: Simplify right side
    35,082.52x = 532,366,259.41
  5. Step 5: Solve for x
    x = 532,366,259.41/35,082.52
  6. Step 6: Final answer
    x = 15,174.69

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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.