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Finding the Fourth Proportional to 52,891.86, 72,989.88 and 30,230.46

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Solution

The fourth proportional to 52,891.86, 72,989.88 and 30,230.46 is: 41,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,891.86 : 72,989.88 = 30,230.46 : x
  2. Step 2: Convert to fraction form
    52,891.86/72,989.88 = 30,230.46/x
  3. Step 3: Cross multiply
    52,891.86x = 72,989.88 × 30,230.46
  4. Step 4: Simplify right side
    52,891.86x = 2,206,517,647.74
  5. Step 5: Solve for x
    x = 2,206,517,647.74/52,891.86
  6. Step 6: Final answer
    x = 41,717.53

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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.