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Finding the Fourth Proportional to 83,319.72, 114,978.39 and 47,521.26

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Solution

The fourth proportional to 83,319.72, 114,978.39 and 47,521.26 is: 65,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,319.72 : 114,978.39 = 47,521.26 : x
  2. Step 2: Convert to fraction form
    83,319.72/114,978.39 = 47,521.26/x
  3. Step 3: Cross multiply
    83,319.72x = 114,978.39 × 47,521.26
  4. Step 4: Simplify right side
    83,319.72x = 5,463,917,965.57
  5. Step 5: Solve for x
    x = 5,463,917,965.57/83,319.72
  6. Step 6: Final answer
    x = 65,577.73

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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.