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Finding the Fourth Proportional to 52,340.76, 72,229.38 and 31,120.92

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Solution

The fourth proportional to 52,340.76, 72,229.38 and 31,120.92 is: 42,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,340.76 : 72,229.38 = 31,120.92 : x
  2. Step 2: Convert to fraction form
    52,340.76/72,229.38 = 31,120.92/x
  3. Step 3: Cross multiply
    52,340.76x = 72,229.38 × 31,120.92
  4. Step 4: Simplify right side
    52,340.76x = 2,247,844,756.63
  5. Step 5: Solve for x
    x = 2,247,844,756.63/52,340.76
  6. Step 6: Final answer
    x = 42,946.35

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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.