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Finding the Fourth Proportional to 83,162.70, 114,760.95 and 45,437.10

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Solution

The fourth proportional to 83,162.70, 114,760.95 and 45,437.10 is: 62,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.70 : 114,760.95 = 45,437.10 : x
  2. Step 2: Convert to fraction form
    83,162.70/114,760.95 = 45,437.10/x
  3. Step 3: Cross multiply
    83,162.70x = 114,760.95 × 45,437.10
  4. Step 4: Simplify right side
    83,162.70x = 5,214,404,761.25
  5. Step 5: Solve for x
    x = 5,214,404,761.25/83,162.70
  6. Step 6: Final answer
    x = 62,701.24

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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.