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Finding the Fourth Proportional to 47,709.52, 65,834.28 and 27,572.88

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Solution

The fourth proportional to 47,709.52, 65,834.28 and 27,572.88 is: 38,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.52 : 65,834.28 = 27,572.88 : x
  2. Step 2: Convert to fraction form
    47,709.52/65,834.28 = 27,572.88/x
  3. Step 3: Cross multiply
    47,709.52x = 65,834.28 × 27,572.88
  4. Step 4: Simplify right side
    47,709.52x = 1,815,240,702.33
  5. Step 5: Solve for x
    x = 1,815,240,702.33/47,709.52
  6. Step 6: Final answer
    x = 38,047.77

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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.