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Finding the Fourth Proportional to 83,311.13, 114,969.36 and 45,585.38

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Solution

The fourth proportional to 83,311.13, 114,969.36 and 45,585.38 is: 62,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.13 : 114,969.36 = 45,585.38 : x
  2. Step 2: Convert to fraction form
    83,311.13/114,969.36 = 45,585.38/x
  3. Step 3: Cross multiply
    83,311.13x = 114,969.36 × 45,585.38
  4. Step 4: Simplify right side
    83,311.13x = 5,240,921,161.18
  5. Step 5: Solve for x
    x = 5,240,921,161.18/83,311.13
  6. Step 6: Final answer
    x = 62,907.82

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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.