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Finding the Fourth Proportional to 29,047.75, 40,082.60 and 16,299.26

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Solution

The fourth proportional to 29,047.75, 40,082.60 and 16,299.26 is: 22,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.75 : 40,082.60 = 16,299.26 : x
  2. Step 2: Convert to fraction form
    29,047.75/40,082.60 = 16,299.26/x
  3. Step 3: Cross multiply
    29,047.75x = 40,082.60 × 16,299.26
  4. Step 4: Simplify right side
    29,047.75x = 653,316,637.38
  5. Step 5: Solve for x
    x = 653,316,637.38/29,047.75
  6. Step 6: Final answer
    x = 22,491.13

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Why These Related Problems?

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