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Finding the Fourth Proportional to 83,415.96, 115,096.14 and 49,435.11

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Solution

The fourth proportional to 83,415.96, 115,096.14 and 49,435.11 is: 68,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.96 : 115,096.14 = 49,435.11 : x
  2. Step 2: Convert to fraction form
    83,415.96/115,096.14 = 49,435.11/x
  3. Step 3: Cross multiply
    83,415.96x = 115,096.14 × 49,435.11
  4. Step 4: Simplify right side
    83,415.96x = 5,689,790,341.48
  5. Step 5: Solve for x
    x = 5,689,790,341.48/83,415.96
  6. Step 6: Final answer
    x = 68,209.85

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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.