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Finding the Fourth Proportional to 83,231, 114,858.78 and 45,505.52

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Solution

The fourth proportional to 83,231, 114,858.78 and 45,505.52 is: 62,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231 : 114,858.78 = 45,505.52 : x
  2. Step 2: Convert to fraction form
    83,231/114,858.78 = 45,505.52/x
  3. Step 3: Cross multiply
    83,231x = 114,858.78 × 45,505.52
  4. Step 4: Simplify right side
    83,231x = 5,226,708,510.47
  5. Step 5: Solve for x
    x = 5,226,708,510.47/83,231
  6. Step 6: Final answer
    x = 62,797.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.