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Finding the Fourth Proportional to 75,253.69, 103,854.76 and 41,719.69

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Solution

The fourth proportional to 75,253.69, 103,854.76 and 41,719.69 is: 57,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253.69 : 103,854.76 = 41,719.69 : x
  2. Step 2: Convert to fraction form
    75,253.69/103,854.76 = 41,719.69/x
  3. Step 3: Cross multiply
    75,253.69x = 103,854.76 × 41,719.69
  4. Step 4: Simplify right side
    75,253.69x = 4,332,788,392.22
  5. Step 5: Solve for x
    x = 4,332,788,392.22/75,253.69
  6. Step 6: Final answer
    x = 57,575.76

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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.