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Finding the Fourth Proportional to 100,963.91, 151,416.70 and 34,402.56

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Solution

The fourth proportional to 100,963.91, 151,416.70 and 34,402.56 is: 51,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.91 : 151,416.70 = 34,402.56 : x
  2. Step 2: Convert to fraction form
    100,963.91/151,416.70 = 34,402.56/x
  3. Step 3: Cross multiply
    100,963.91x = 151,416.70 × 34,402.56
  4. Step 4: Simplify right side
    100,963.91x = 5,209,122,106.75
  5. Step 5: Solve for x
    x = 5,209,122,106.75/100,963.91
  6. Step 6: Final answer
    x = 51,593.90

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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.