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Finding the Fourth Proportional to 83,623.80, 125,454.83 and 36,246.82

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Solution

The fourth proportional to 83,623.80, 125,454.83 and 36,246.82 is: 54,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,623.80 : 125,454.83 = 36,246.82 : x
  2. Step 2: Convert to fraction form
    83,623.80/125,454.83 = 36,246.82/x
  3. Step 3: Cross multiply
    83,623.80x = 125,454.83 × 36,246.82
  4. Step 4: Simplify right side
    83,623.80x = 4,547,338,641.14
  5. Step 5: Solve for x
    x = 4,547,338,641.14/83,623.80
  6. Step 6: Final answer
    x = 54,378.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.