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Finding the Fourth Proportional to 38,486.91, 53,120.79 and 22,576.49

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Solution

The fourth proportional to 38,486.91, 53,120.79 and 22,576.49 is: 31,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.91 : 53,120.79 = 22,576.49 : x
  2. Step 2: Convert to fraction form
    38,486.91/53,120.79 = 22,576.49/x
  3. Step 3: Cross multiply
    38,486.91x = 53,120.79 × 22,576.49
  4. Step 4: Simplify right side
    38,486.91x = 1,199,280,718.62
  5. Step 5: Solve for x
    x = 1,199,280,718.62/38,486.91
  6. Step 6: Final answer
    x = 31,160.74

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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.