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Finding the Fourth Proportional to 103,963.76, 155,961 and 30,082.16

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Solution

The fourth proportional to 103,963.76, 155,961 and 30,082.16 is: 45,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.76 : 155,961 = 30,082.16 : x
  2. Step 2: Convert to fraction form
    103,963.76/155,961 = 30,082.16/x
  3. Step 3: Cross multiply
    103,963.76x = 155,961 × 30,082.16
  4. Step 4: Simplify right side
    103,963.76x = 4,691,643,755.76
  5. Step 5: Solve for x
    x = 4,691,643,755.76/103,963.76
  6. Step 6: Final answer
    x = 45,127.68

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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.