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Finding the Fourth Proportional to 83,013.90, 114,558.92 and 45,287.88

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Solution

The fourth proportional to 83,013.90, 114,558.92 and 45,287.88 is: 62,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.90 : 114,558.92 = 45,287.88 : x
  2. Step 2: Convert to fraction form
    83,013.90/114,558.92 = 45,287.88/x
  3. Step 3: Cross multiply
    83,013.90x = 114,558.92 × 45,287.88
  4. Step 4: Simplify right side
    83,013.90x = 5,188,130,162.31
  5. Step 5: Solve for x
    x = 5,188,130,162.31/83,013.90
  6. Step 6: Final answer
    x = 62,497.13

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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.