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Finding the Fourth Proportional to 27,122.52, 40,683.79 and 13,079.93

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Solution

The fourth proportional to 27,122.52, 40,683.79 and 13,079.93 is: 19,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.52 : 40,683.79 = 13,079.93 : x
  2. Step 2: Convert to fraction form
    27,122.52/40,683.79 = 13,079.93/x
  3. Step 3: Cross multiply
    27,122.52x = 40,683.79 × 13,079.93
  4. Step 4: Simplify right side
    27,122.52x = 532,141,093.54
  5. Step 5: Solve for x
    x = 532,141,093.54/27,122.52
  6. Step 6: Final answer
    x = 19,619.90

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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.