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Finding the Fourth Proportional to 38,039.76, 52,491.24 and 30,101.76

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Solution

The fourth proportional to 38,039.76, 52,491.24 and 30,101.76 is: 41,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039.76 : 52,491.24 = 30,101.76 : x
  2. Step 2: Convert to fraction form
    38,039.76/52,491.24 = 30,101.76/x
  3. Step 3: Cross multiply
    38,039.76x = 52,491.24 × 30,101.76
  4. Step 4: Simplify right side
    38,039.76x = 1,580,078,708.58
  5. Step 5: Solve for x
    x = 1,580,078,708.58/38,039.76
  6. Step 6: Final answer
    x = 41,537.56

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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.