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Finding the Fourth Proportional to 105,625.70, 158,462.55 and 35,512.10

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Solution

The fourth proportional to 105,625.70, 158,462.55 and 35,512.10 is: 53,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,625.70 : 158,462.55 = 35,512.10 : x
  2. Step 2: Convert to fraction form
    105,625.70/158,462.55 = 35,512.10/x
  3. Step 3: Cross multiply
    105,625.70x = 158,462.55 × 35,512.10
  4. Step 4: Simplify right side
    105,625.70x = 5,627,337,921.86
  5. Step 5: Solve for x
    x = 5,627,337,921.86/105,625.70
  6. Step 6: Final answer
    x = 53,276.22

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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.