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Finding the Fourth Proportional to 100,576.92, 150,861.06 and 25,698.90

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Solution

The fourth proportional to 100,576.92, 150,861.06 and 25,698.90 is: 38,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.92 : 150,861.06 = 25,698.90 : x
  2. Step 2: Convert to fraction form
    100,576.92/150,861.06 = 25,698.90/x
  3. Step 3: Cross multiply
    100,576.92x = 150,861.06 × 25,698.90
  4. Step 4: Simplify right side
    100,576.92x = 3,876,963,294.83
  5. Step 5: Solve for x
    x = 3,876,963,294.83/100,576.92
  6. Step 6: Final answer
    x = 38,547.25

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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.