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Finding the Fourth Proportional to 70,719.55, 106,082.65 and 23,338.78

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Solution

The fourth proportional to 70,719.55, 106,082.65 and 23,338.78 is: 35,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,719.55 : 106,082.65 = 23,338.78 : x
  2. Step 2: Convert to fraction form
    70,719.55/106,082.65 = 23,338.78/x
  3. Step 3: Cross multiply
    70,719.55x = 106,082.65 × 23,338.78
  4. Step 4: Simplify right side
    70,719.55x = 2,475,839,630.17
  5. Step 5: Solve for x
    x = 2,475,839,630.17/70,719.55
  6. Step 6: Final answer
    x = 35,009.27

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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.