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Finding the Fourth Proportional to 39,214.44, 54,095.22 and 24,848.92

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Solution

The fourth proportional to 39,214.44, 54,095.22 and 24,848.92 is: 34,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.44 : 54,095.22 = 24,848.92 : x
  2. Step 2: Convert to fraction form
    39,214.44/54,095.22 = 24,848.92/x
  3. Step 3: Cross multiply
    39,214.44x = 54,095.22 × 24,848.92
  4. Step 4: Simplify right side
    39,214.44x = 1,344,207,794.16
  5. Step 5: Solve for x
    x = 1,344,207,794.16/39,214.44
  6. Step 6: Final answer
    x = 34,278.39

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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.