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Finding the Fourth Proportional to 75,397.62, 104,049.80 and 41,409.17

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Solution

The fourth proportional to 75,397.62, 104,049.80 and 41,409.17 is: 57,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,397.62 : 104,049.80 = 41,409.17 : x
  2. Step 2: Convert to fraction form
    75,397.62/104,049.80 = 41,409.17/x
  3. Step 3: Cross multiply
    75,397.62x = 104,049.80 × 41,409.17
  4. Step 4: Simplify right side
    75,397.62x = 4,308,615,856.67
  5. Step 5: Solve for x
    x = 4,308,615,856.67/75,397.62
  6. Step 6: Final answer
    x = 57,145.25

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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.