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Finding the Fourth Proportional to 82,833.85, 124,262.66 and 26,655.29

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Solution

The fourth proportional to 82,833.85, 124,262.66 and 26,655.29 is: 39,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.85 : 124,262.66 = 26,655.29 : x
  2. Step 2: Convert to fraction form
    82,833.85/124,262.66 = 26,655.29/x
  3. Step 3: Cross multiply
    82,833.85x = 124,262.66 × 26,655.29
  4. Step 4: Simplify right side
    82,833.85x = 3,312,257,238.47
  5. Step 5: Solve for x
    x = 3,312,257,238.47/82,833.85
  6. Step 6: Final answer
    x = 39,986.76

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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.