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Finding the Fourth Proportional to 75,809.70, 104,617.98 and 41,819.40

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Solution

The fourth proportional to 75,809.70, 104,617.98 and 41,819.40 is: 57,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,809.70 : 104,617.98 = 41,819.40 : x
  2. Step 2: Convert to fraction form
    75,809.70/104,617.98 = 41,819.40/x
  3. Step 3: Cross multiply
    75,809.70x = 104,617.98 × 41,819.40
  4. Step 4: Simplify right side
    75,809.70x = 4,375,061,152.81
  5. Step 5: Solve for x
    x = 4,375,061,152.81/75,809.70
  6. Step 6: Final answer
    x = 57,711.10

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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.