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Finding the Fourth Proportional to 77,440.68, 106,900.76 and 52,324.20

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Solution

The fourth proportional to 77,440.68, 106,900.76 and 52,324.20 is: 72,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,440.68 : 106,900.76 = 52,324.20 : x
  2. Step 2: Convert to fraction form
    77,440.68/106,900.76 = 52,324.20/x
  3. Step 3: Cross multiply
    77,440.68x = 106,900.76 × 52,324.20
  4. Step 4: Simplify right side
    77,440.68x = 5,593,496,746.39
  5. Step 5: Solve for x
    x = 5,593,496,746.39/77,440.68
  6. Step 6: Final answer
    x = 72,229.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.