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Finding the Fourth Proportional to 40,643.10, 60,964.65 and 34,082.10

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Solution

The fourth proportional to 40,643.10, 60,964.65 and 34,082.10 is: 51,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,643.10 : 60,964.65 = 34,082.10 : x
  2. Step 2: Convert to fraction form
    40,643.10/60,964.65 = 34,082.10/x
  3. Step 3: Cross multiply
    40,643.10x = 60,964.65 × 34,082.10
  4. Step 4: Simplify right side
    40,643.10x = 2,077,803,297.77
  5. Step 5: Solve for x
    x = 2,077,803,297.77/40,643.10
  6. Step 6: Final answer
    x = 51,123.15

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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.