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Finding the Fourth Proportional to 52,367.48, 72,282.54 and 31,956.92

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Solution

The fourth proportional to 52,367.48, 72,282.54 and 31,956.92 is: 44,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.48 : 72,282.54 = 31,956.92 : x
  2. Step 2: Convert to fraction form
    52,367.48/72,282.54 = 31,956.92/x
  3. Step 3: Cross multiply
    52,367.48x = 72,282.54 × 31,956.92
  4. Step 4: Simplify right side
    52,367.48x = 2,309,927,348.18
  5. Step 5: Solve for x
    x = 2,309,927,348.18/52,367.48
  6. Step 6: Final answer
    x = 44,109.96

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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.