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Finding the Fourth Proportional to 38,238.24, 52,769.76 and 24,815.04

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Solution

The fourth proportional to 38,238.24, 52,769.76 and 24,815.04 is: 34,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.24 : 52,769.76 = 24,815.04 : x
  2. Step 2: Convert to fraction form
    38,238.24/52,769.76 = 24,815.04/x
  3. Step 3: Cross multiply
    38,238.24x = 52,769.76 × 24,815.04
  4. Step 4: Simplify right side
    38,238.24x = 1,309,483,705.19
  5. Step 5: Solve for x
    x = 1,309,483,705.19/38,238.24
  6. Step 6: Final answer
    x = 34,245.40

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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.