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Finding the Fourth Proportional to 38,484.57, 53,109.60 and 21,488.24

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Solution

The fourth proportional to 38,484.57, 53,109.60 and 21,488.24 is: 29,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.57 : 53,109.60 = 21,488.24 : x
  2. Step 2: Convert to fraction form
    38,484.57/53,109.60 = 21,488.24/x
  3. Step 3: Cross multiply
    38,484.57x = 53,109.60 × 21,488.24
  4. Step 4: Simplify right side
    38,484.57x = 1,141,231,565.56
  5. Step 5: Solve for x
    x = 1,141,231,565.56/38,484.57
  6. Step 6: Final answer
    x = 29,654.27

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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.