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Finding the Fourth Proportional to 100,039.59, 150,048.45 and 29,902.50

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Solution

The fourth proportional to 100,039.59, 150,048.45 and 29,902.50 is: 44,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.59 : 150,048.45 = 29,902.50 : x
  2. Step 2: Convert to fraction form
    100,039.59/150,048.45 = 29,902.50/x
  3. Step 3: Cross multiply
    100,039.59x = 150,048.45 × 29,902.50
  4. Step 4: Simplify right side
    100,039.59x = 4,486,823,776.13
  5. Step 5: Solve for x
    x = 4,486,823,776.13/100,039.59
  6. Step 6: Final answer
    x = 44,850.48

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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.