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Finding the Fourth Proportional to 54,590.47, 81,881 and 33,237.65

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Solution

The fourth proportional to 54,590.47, 81,881 and 33,237.65 is: 49,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.47 : 81,881 = 33,237.65 : x
  2. Step 2: Convert to fraction form
    54,590.47/81,881 = 33,237.65/x
  3. Step 3: Cross multiply
    54,590.47x = 81,881 × 33,237.65
  4. Step 4: Simplify right side
    54,590.47x = 2,721,532,019.65
  5. Step 5: Solve for x
    x = 2,721,532,019.65/54,590.47
  6. Step 6: Final answer
    x = 49,853.61

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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.