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Finding the Fourth Proportional to 77,951.32, 116,874.63 and 40,023.58

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Solution

The fourth proportional to 77,951.32, 116,874.63 and 40,023.58 is: 60,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.32 : 116,874.63 = 40,023.58 : x
  2. Step 2: Convert to fraction form
    77,951.32/116,874.63 = 40,023.58/x
  3. Step 3: Cross multiply
    77,951.32x = 116,874.63 × 40,023.58
  4. Step 4: Simplify right side
    77,951.32x = 4,677,741,103.78
  5. Step 5: Solve for x
    x = 4,677,741,103.78/77,951.32
  6. Step 6: Final answer
    x = 60,008.49

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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.