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Finding the Fourth Proportional to 78,585.66, 108,446.31 and 45,049.50

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Solution

The fourth proportional to 78,585.66, 108,446.31 and 45,049.50 is: 62,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.66 : 108,446.31 = 45,049.50 : x
  2. Step 2: Convert to fraction form
    78,585.66/108,446.31 = 45,049.50/x
  3. Step 3: Cross multiply
    78,585.66x = 108,446.31 × 45,049.50
  4. Step 4: Simplify right side
    78,585.66x = 4,885,452,042.35
  5. Step 5: Solve for x
    x = 4,885,452,042.35/78,585.66
  6. Step 6: Final answer
    x = 62,167.22

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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.