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Finding the Fourth Proportional to 83,020.65, 124,590.83 and 33,071.87

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Solution

The fourth proportional to 83,020.65, 124,590.83 and 33,071.87 is: 49,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020.65 : 124,590.83 = 33,071.87 : x
  2. Step 2: Convert to fraction form
    83,020.65/124,590.83 = 33,071.87/x
  3. Step 3: Cross multiply
    83,020.65x = 124,590.83 × 33,071.87
  4. Step 4: Simplify right side
    83,020.65x = 4,120,450,944.64
  5. Step 5: Solve for x
    x = 4,120,450,944.64/83,020.65
  6. Step 6: Final answer
    x = 49,631.64

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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.