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Finding the Fourth Proportional to 59,882.20, 82,643 and 34,392.08

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Solution

The fourth proportional to 59,882.20, 82,643 and 34,392.08 is: 47,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,882.20 : 82,643 = 34,392.08 : x
  2. Step 2: Convert to fraction form
    59,882.20/82,643 = 34,392.08/x
  3. Step 3: Cross multiply
    59,882.20x = 82,643 × 34,392.08
  4. Step 4: Simplify right side
    59,882.20x = 2,842,264,667.44
  5. Step 5: Solve for x
    x = 2,842,264,667.44/59,882.20
  6. Step 6: Final answer
    x = 47,464.27

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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.