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Finding the Fourth Proportional to 70,098.76, 105,161.87 and 25,725.84

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Solution

The fourth proportional to 70,098.76, 105,161.87 and 25,725.84 is: 38,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.76 : 105,161.87 = 25,725.84 : x
  2. Step 2: Convert to fraction form
    70,098.76/105,161.87 = 25,725.84/x
  3. Step 3: Cross multiply
    70,098.76x = 105,161.87 × 25,725.84
  4. Step 4: Simplify right side
    70,098.76x = 2,705,377,441.72
  5. Step 5: Solve for x
    x = 2,705,377,441.72/70,098.76
  6. Step 6: Final answer
    x = 38,593.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.