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Finding the Fourth Proportional to 30,497.16, 42,082.24 and 17,754.46

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Solution

The fourth proportional to 30,497.16, 42,082.24 and 17,754.46 is: 24,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.16 : 42,082.24 = 17,754.46 : x
  2. Step 2: Convert to fraction form
    30,497.16/42,082.24 = 17,754.46/x
  3. Step 3: Cross multiply
    30,497.16x = 42,082.24 × 17,754.46
  4. Step 4: Simplify right side
    30,497.16x = 747,147,446.79
  5. Step 5: Solve for x
    x = 747,147,446.79/30,497.16
  6. Step 6: Final answer
    x = 24,498.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.