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Finding the Fourth Proportional to 100,641.87, 150,953.99 and 34,080.48

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Solution

The fourth proportional to 100,641.87, 150,953.99 and 34,080.48 is: 51,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,641.87 : 150,953.99 = 34,080.48 : x
  2. Step 2: Convert to fraction form
    100,641.87/150,953.99 = 34,080.48/x
  3. Step 3: Cross multiply
    100,641.87x = 150,953.99 × 34,080.48
  4. Step 4: Simplify right side
    100,641.87x = 5,144,584,266.71
  5. Step 5: Solve for x
    x = 5,144,584,266.71/100,641.87
  6. Step 6: Final answer
    x = 51,117.73

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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.