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Finding the Fourth Proportional to 38,491.76, 53,118.78 and 22,576.52

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Solution

The fourth proportional to 38,491.76, 53,118.78 and 22,576.52 is: 31,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.76 : 53,118.78 = 22,576.52 : x
  2. Step 2: Convert to fraction form
    38,491.76/53,118.78 = 22,576.52/x
  3. Step 3: Cross multiply
    38,491.76x = 53,118.78 × 22,576.52
  4. Step 4: Simplify right side
    38,491.76x = 1,199,237,199.05
  5. Step 5: Solve for x
    x = 1,199,237,199.05/38,491.76
  6. Step 6: Final answer
    x = 31,155.69

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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.