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Finding the Fourth Proportional to 83,477.72, 125,169.74 and 36,063.23

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Solution

The fourth proportional to 83,477.72, 125,169.74 and 36,063.23 is: 54,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.72 : 125,169.74 = 36,063.23 : x
  2. Step 2: Convert to fraction form
    83,477.72/125,169.74 = 36,063.23/x
  3. Step 3: Cross multiply
    83,477.72x = 125,169.74 × 36,063.23
  4. Step 4: Simplify right side
    83,477.72x = 4,514,024,451.73
  5. Step 5: Solve for x
    x = 4,514,024,451.73/83,477.72
  6. Step 6: Final answer
    x = 54,074.60

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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.