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Finding the Fourth Proportional to 31,653, 47,481.48 and 10,591.92

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Solution

The fourth proportional to 31,653, 47,481.48 and 10,591.92 is: 15,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653 : 47,481.48 = 10,591.92 : x
  2. Step 2: Convert to fraction form
    31,653/47,481.48 = 10,591.92/x
  3. Step 3: Cross multiply
    31,653x = 47,481.48 × 10,591.92
  4. Step 4: Simplify right side
    31,653x = 502,920,037.64
  5. Step 5: Solve for x
    x = 502,920,037.64/31,653
  6. Step 6: Final answer
    x = 15,888.54

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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.