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Finding the Fourth Proportional to 38,052.96, 57,082.68 and 9,972.96

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Solution

The fourth proportional to 38,052.96, 57,082.68 and 9,972.96 is: 14,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.96 : 57,082.68 = 9,972.96 : x
  2. Step 2: Convert to fraction form
    38,052.96/57,082.68 = 9,972.96/x
  3. Step 3: Cross multiply
    38,052.96x = 57,082.68 × 9,972.96
  4. Step 4: Simplify right side
    38,052.96x = 569,283,284.33
  5. Step 5: Solve for x
    x = 569,283,284.33/38,052.96
  6. Step 6: Final answer
    x = 14,960.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.