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Finding the Fourth Proportional to 47,329.52, 65,326.12 and 28,463

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Solution

The fourth proportional to 47,329.52, 65,326.12 and 28,463 is: 39,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,329.52 : 65,326.12 = 28,463 : x
  2. Step 2: Convert to fraction form
    47,329.52/65,326.12 = 28,463/x
  3. Step 3: Cross multiply
    47,329.52x = 65,326.12 × 28,463
  4. Step 4: Simplify right side
    47,329.52x = 1,859,377,353.56
  5. Step 5: Solve for x
    x = 1,859,377,353.56/47,329.52
  6. Step 6: Final answer
    x = 39,285.79

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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.