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Finding the Fourth Proportional to 83,625.38, 115,388.13 and 47,326.65

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Solution

The fourth proportional to 83,625.38, 115,388.13 and 47,326.65 is: 65,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,625.38 : 115,388.13 = 47,326.65 : x
  2. Step 2: Convert to fraction form
    83,625.38/115,388.13 = 47,326.65/x
  3. Step 3: Cross multiply
    83,625.38x = 115,388.13 × 47,326.65
  4. Step 4: Simplify right side
    83,625.38x = 5,460,933,642.66
  5. Step 5: Solve for x
    x = 5,460,933,642.66/83,625.38
  6. Step 6: Final answer
    x = 65,302.35

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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.