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Finding the Fourth Proportional to 56,708.50, 78,252.62 and 32,836.78

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Solution

The fourth proportional to 56,708.50, 78,252.62 and 32,836.78 is: 45,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,708.50 : 78,252.62 = 32,836.78 : x
  2. Step 2: Convert to fraction form
    56,708.50/78,252.62 = 32,836.78/x
  3. Step 3: Cross multiply
    56,708.50x = 78,252.62 × 32,836.78
  4. Step 4: Simplify right side
    56,708.50x = 2,569,564,067.36
  5. Step 5: Solve for x
    x = 2,569,564,067.36/56,708.50
  6. Step 6: Final answer
    x = 45,311.80

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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.