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Finding the Fourth Proportional to 70,983.76, 106,452.60 and 23,586.13

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Solution

The fourth proportional to 70,983.76, 106,452.60 and 23,586.13 is: 35,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.76 : 106,452.60 = 23,586.13 : x
  2. Step 2: Convert to fraction form
    70,983.76/106,452.60 = 23,586.13/x
  3. Step 3: Cross multiply
    70,983.76x = 106,452.60 × 23,586.13
  4. Step 4: Simplify right side
    70,983.76x = 2,510,804,440.93
  5. Step 5: Solve for x
    x = 2,510,804,440.93/70,983.76
  6. Step 6: Final answer
    x = 35,371.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.