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Finding the Fourth Proportional to 83,564.64, 115,340.76 and 51,715.44

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Solution

The fourth proportional to 83,564.64, 115,340.76 and 51,715.44 is: 71,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,564.64 : 115,340.76 = 51,715.44 : x
  2. Step 2: Convert to fraction form
    83,564.64/115,340.76 = 51,715.44/x
  3. Step 3: Cross multiply
    83,564.64x = 115,340.76 × 51,715.44
  4. Step 4: Simplify right side
    83,564.64x = 5,964,898,153.33
  5. Step 5: Solve for x
    x = 5,964,898,153.33/83,564.64
  6. Step 6: Final answer
    x = 71,380.65

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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.