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Finding the Fourth Proportional to 75,269.82, 103,862.81 and 41,269.36

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Solution

The fourth proportional to 75,269.82, 103,862.81 and 41,269.36 is: 56,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.82 : 103,862.81 = 41,269.36 : x
  2. Step 2: Convert to fraction form
    75,269.82/103,862.81 = 41,269.36/x
  3. Step 3: Cross multiply
    75,269.82x = 103,862.81 × 41,269.36
  4. Step 4: Simplify right side
    75,269.82x = 4,286,351,490.15
  5. Step 5: Solve for x
    x = 4,286,351,490.15/75,269.82
  6. Step 6: Final answer
    x = 56,946.48

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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.