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Finding the Fourth Proportional to 47,885.71, 66,082.28 and 27,754.27

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Solution

The fourth proportional to 47,885.71, 66,082.28 and 27,754.27 is: 38,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,885.71 : 66,082.28 = 27,754.27 : x
  2. Step 2: Convert to fraction form
    47,885.71/66,082.28 = 27,754.27/x
  3. Step 3: Cross multiply
    47,885.71x = 66,082.28 × 27,754.27
  4. Step 4: Simplify right side
    47,885.71x = 1,834,065,330.65
  5. Step 5: Solve for x
    x = 1,834,065,330.65/47,885.71
  6. Step 6: Final answer
    x = 38,300.89

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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.