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Finding the Fourth Proportional to 83,299.12, 114,833.16 and 59,384.27

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Solution

The fourth proportional to 83,299.12, 114,833.16 and 59,384.27 is: 81,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,299.12 : 114,833.16 = 59,384.27 : x
  2. Step 2: Convert to fraction form
    83,299.12/114,833.16 = 59,384.27/x
  3. Step 3: Cross multiply
    83,299.12x = 114,833.16 × 59,384.27
  4. Step 4: Simplify right side
    83,299.12x = 6,819,283,665.48
  5. Step 5: Solve for x
    x = 6,819,283,665.48/83,299.12
  6. Step 6: Final answer
    x = 81,865.02

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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.