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Finding the Fourth Proportional to 59,642.85, 82,309.02 and 34,149.33

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Solution

The fourth proportional to 59,642.85, 82,309.02 and 34,149.33 is: 47,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642.85 : 82,309.02 = 34,149.33 : x
  2. Step 2: Convert to fraction form
    59,642.85/82,309.02 = 34,149.33/x
  3. Step 3: Cross multiply
    59,642.85x = 82,309.02 × 34,149.33
  4. Step 4: Simplify right side
    59,642.85x = 2,810,797,885.96
  5. Step 5: Solve for x
    x = 2,810,797,885.96/59,642.85
  6. Step 6: Final answer
    x = 47,127.16

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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.