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Finding the Fourth Proportional to 42,675, 58,891.38 and 23,812.14

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Solution

The fourth proportional to 42,675, 58,891.38 and 23,812.14 is: 32,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,675 : 58,891.38 = 23,812.14 : x
  2. Step 2: Convert to fraction form
    42,675/58,891.38 = 23,812.14/x
  3. Step 3: Cross multiply
    42,675x = 58,891.38 × 23,812.14
  4. Step 4: Simplify right side
    42,675x = 1,402,329,785.35
  5. Step 5: Solve for x
    x = 1,402,329,785.35/42,675
  6. Step 6: Final answer
    x = 32,860.69

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Why These Related Problems?

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