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Finding the Fourth Proportional to 82,672.89, 124,029.59 and 26,513.16

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Solution

The fourth proportional to 82,672.89, 124,029.59 and 26,513.16 is: 39,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.89 : 124,029.59 = 26,513.16 : x
  2. Step 2: Convert to fraction form
    82,672.89/124,029.59 = 26,513.16/x
  3. Step 3: Cross multiply
    82,672.89x = 124,029.59 × 26,513.16
  4. Step 4: Simplify right side
    82,672.89x = 3,288,416,231.84
  5. Step 5: Solve for x
    x = 3,288,416,231.84/82,672.89
  6. Step 6: Final answer
    x = 39,776.23

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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.