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Finding the Fourth Proportional to 83,752.80, 115,580.43 and 46,026.78

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Solution

The fourth proportional to 83,752.80, 115,580.43 and 46,026.78 is: 63,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,752.80 : 115,580.43 = 46,026.78 : x
  2. Step 2: Convert to fraction form
    83,752.80/115,580.43 = 46,026.78/x
  3. Step 3: Cross multiply
    83,752.80x = 115,580.43 × 46,026.78
  4. Step 4: Simplify right side
    83,752.80x = 5,319,795,023.92
  5. Step 5: Solve for x
    x = 5,319,795,023.92/83,752.80
  6. Step 6: Final answer
    x = 63,517.82

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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.