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Finding the Fourth Proportional to 82,944.76, 114,463.80 and 47,134.80

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Solution

The fourth proportional to 82,944.76, 114,463.80 and 47,134.80 is: 65,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,944.76 : 114,463.80 = 47,134.80 : x
  2. Step 2: Convert to fraction form
    82,944.76/114,463.80 = 47,134.80/x
  3. Step 3: Cross multiply
    82,944.76x = 114,463.80 × 47,134.80
  4. Step 4: Simplify right side
    82,944.76x = 5,395,228,320.24
  5. Step 5: Solve for x
    x = 5,395,228,320.24/82,944.76
  6. Step 6: Final answer
    x = 65,046.04

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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.