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Finding the Fourth Proportional to 83,169.25, 114,774.38 and 45,443.50

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Solution

The fourth proportional to 83,169.25, 114,774.38 and 45,443.50 is: 62,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.25 : 114,774.38 = 45,443.50 : x
  2. Step 2: Convert to fraction form
    83,169.25/114,774.38 = 45,443.50/x
  3. Step 3: Cross multiply
    83,169.25x = 114,774.38 × 45,443.50
  4. Step 4: Simplify right side
    83,169.25x = 5,215,749,537.53
  5. Step 5: Solve for x
    x = 5,215,749,537.53/83,169.25
  6. Step 6: Final answer
    x = 62,712.48

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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.