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Finding the Fourth Proportional to 123,713.29, 185,570.98 and 34,964.81

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Solution

The fourth proportional to 123,713.29, 185,570.98 and 34,964.81 is: 52,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,713.29 : 185,570.98 = 34,964.81 : x
  2. Step 2: Convert to fraction form
    123,713.29/185,570.98 = 34,964.81/x
  3. Step 3: Cross multiply
    123,713.29x = 185,570.98 × 34,964.81
  4. Step 4: Simplify right side
    123,713.29x = 6,488,454,057.21
  5. Step 5: Solve for x
    x = 6,488,454,057.21/123,713.29
  6. Step 6: Final answer
    x = 52,447.51

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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.