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Finding the Fourth Proportional to 83,781.62, 115,619.02 and 46,058.30

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Solution

The fourth proportional to 83,781.62, 115,619.02 and 46,058.30 is: 63,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.62 : 115,619.02 = 46,058.30 : x
  2. Step 2: Convert to fraction form
    83,781.62/115,619.02 = 46,058.30/x
  3. Step 3: Cross multiply
    83,781.62x = 115,619.02 × 46,058.30
  4. Step 4: Simplify right side
    83,781.62x = 5,325,215,508.87
  5. Step 5: Solve for x
    x = 5,325,215,508.87/83,781.62
  6. Step 6: Final answer
    x = 63,560.67

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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.