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Finding the Fourth Proportional to 82,709.88, 124,062.48 and 26,549.55

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Solution

The fourth proportional to 82,709.88, 124,062.48 and 26,549.55 is: 39,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.88 : 124,062.48 = 26,549.55 : x
  2. Step 2: Convert to fraction form
    82,709.88/124,062.48 = 26,549.55/x
  3. Step 3: Cross multiply
    82,709.88x = 124,062.48 × 26,549.55
  4. Step 4: Simplify right side
    82,709.88x = 3,293,803,015.88
  5. Step 5: Solve for x
    x = 3,293,803,015.88/82,709.88
  6. Step 6: Final answer
    x = 39,823.57

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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.