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Finding the Fourth Proportional to 83,037.68, 114,595.44 and 47,234

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Solution

The fourth proportional to 83,037.68, 114,595.44 and 47,234 is: 65,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037.68 : 114,595.44 = 47,234 : x
  2. Step 2: Convert to fraction form
    83,037.68/114,595.44 = 47,234/x
  3. Step 3: Cross multiply
    83,037.68x = 114,595.44 × 47,234
  4. Step 4: Simplify right side
    83,037.68x = 5,412,801,012.96
  5. Step 5: Solve for x
    x = 5,412,801,012.96/83,037.68
  6. Step 6: Final answer
    x = 65,184.88

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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.