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Finding the Fourth Proportional to 83,498.56, 115,235.28 and 45,780

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Solution

The fourth proportional to 83,498.56, 115,235.28 and 45,780 is: 63,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,498.56 : 115,235.28 = 45,780 : x
  2. Step 2: Convert to fraction form
    83,498.56/115,235.28 = 45,780/x
  3. Step 3: Cross multiply
    83,498.56x = 115,235.28 × 45,780
  4. Step 4: Simplify right side
    83,498.56x = 5,275,471,118.40
  5. Step 5: Solve for x
    x = 5,275,471,118.40/83,498.56
  6. Step 6: Final answer
    x = 63,180.38

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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.