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Finding the Fourth Proportional to 47,897.52, 66,093.53 and 27,760.71

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Solution

The fourth proportional to 47,897.52, 66,093.53 and 27,760.71 is: 38,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.52 : 66,093.53 = 27,760.71 : x
  2. Step 2: Convert to fraction form
    47,897.52/66,093.53 = 27,760.71/x
  3. Step 3: Cross multiply
    47,897.52x = 66,093.53 × 27,760.71
  4. Step 4: Simplify right side
    47,897.52x = 1,834,803,319.21
  5. Step 5: Solve for x
    x = 1,834,803,319.21/47,897.52
  6. Step 6: Final answer
    x = 38,306.85

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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.