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Finding the Fourth Proportional to 75,252.69, 103,853.38 and 41,718.69

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Solution

The fourth proportional to 75,252.69, 103,853.38 and 41,718.69 is: 57,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252.69 : 103,853.38 = 41,718.69 : x
  2. Step 2: Convert to fraction form
    75,252.69/103,853.38 = 41,718.69/x
  3. Step 3: Cross multiply
    75,252.69x = 103,853.38 × 41,718.69
  4. Step 4: Simplify right side
    75,252.69x = 4,332,626,965.67
  5. Step 5: Solve for x
    x = 4,332,626,965.67/75,252.69
  6. Step 6: Final answer
    x = 57,574.38

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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.