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Finding the Fourth Proportional to 38,698.74, 53,394.93 and 24,546.42

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Solution

The fourth proportional to 38,698.74, 53,394.93 and 24,546.42 is: 33,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,698.74 : 53,394.93 = 24,546.42 : x
  2. Step 2: Convert to fraction form
    38,698.74/53,394.93 = 24,546.42/x
  3. Step 3: Cross multiply
    38,698.74x = 53,394.93 × 24,546.42
  4. Step 4: Simplify right side
    38,698.74x = 1,310,654,377.65
  5. Step 5: Solve for x
    x = 1,310,654,377.65/38,698.74
  6. Step 6: Final answer
    x = 33,868.14

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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.