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Finding the Fourth Proportional to 83,306.63, 114,963.15 and 45,580.88

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Solution

The fourth proportional to 83,306.63, 114,963.15 and 45,580.88 is: 62,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,306.63 : 114,963.15 = 45,580.88 : x
  2. Step 2: Convert to fraction form
    83,306.63/114,963.15 = 45,580.88/x
  3. Step 3: Cross multiply
    83,306.63x = 114,963.15 × 45,580.88
  4. Step 4: Simplify right side
    83,306.63x = 5,240,120,969.76
  5. Step 5: Solve for x
    x = 5,240,120,969.76/83,306.63
  6. Step 6: Final answer
    x = 62,901.61

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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.