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Finding the Fourth Proportional to 78,394.86, 117,609.06 and 24,358.41

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Solution

The fourth proportional to 78,394.86, 117,609.06 and 24,358.41 is: 36,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.86 : 117,609.06 = 24,358.41 : x
  2. Step 2: Convert to fraction form
    78,394.86/117,609.06 = 24,358.41/x
  3. Step 3: Cross multiply
    78,394.86x = 117,609.06 × 24,358.41
  4. Step 4: Simplify right side
    78,394.86x = 2,864,769,703.19
  5. Step 5: Solve for x
    x = 2,864,769,703.19/78,394.86
  6. Step 6: Final answer
    x = 36,542.83

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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.