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Finding the Fourth Proportional to 83,347.74, 115,020.60 and 47,539.57

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Solution

The fourth proportional to 83,347.74, 115,020.60 and 47,539.57 is: 65,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,347.74 : 115,020.60 = 47,539.57 : x
  2. Step 2: Convert to fraction form
    83,347.74/115,020.60 = 47,539.57/x
  3. Step 3: Cross multiply
    83,347.74x = 115,020.60 × 47,539.57
  4. Step 4: Simplify right side
    83,347.74x = 5,468,029,865.14
  5. Step 5: Solve for x
    x = 5,468,029,865.14/83,347.74
  6. Step 6: Final answer
    x = 65,605.02

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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.