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Finding the Fourth Proportional to 83,348.04, 115,040.34 and 47,559

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Solution

The fourth proportional to 83,348.04, 115,040.34 and 47,559 is: 65,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348.04 : 115,040.34 = 47,559 : x
  2. Step 2: Convert to fraction form
    83,348.04/115,040.34 = 47,559/x
  3. Step 3: Cross multiply
    83,348.04x = 115,040.34 × 47,559
  4. Step 4: Simplify right side
    83,348.04x = 5,471,203,530.06
  5. Step 5: Solve for x
    x = 5,471,203,530.06/83,348.04
  6. Step 6: Final answer
    x = 65,642.86

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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.