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Finding the Fourth Proportional to 81,952.66, 122,944.48 and 32,029.58

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Solution

The fourth proportional to 81,952.66, 122,944.48 and 32,029.58 is: 48,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952.66 : 122,944.48 = 32,029.58 : x
  2. Step 2: Convert to fraction form
    81,952.66/122,944.48 = 32,029.58/x
  3. Step 3: Cross multiply
    81,952.66x = 122,944.48 × 32,029.58
  4. Step 4: Simplify right side
    81,952.66x = 3,937,859,773.61
  5. Step 5: Solve for x
    x = 3,937,859,773.61/81,952.66
  6. Step 6: Final answer
    x = 48,050.42

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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.