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Finding the Fourth Proportional to 67,295.01, 100,942.25 and 25,178.25

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Solution

The fourth proportional to 67,295.01, 100,942.25 and 25,178.25 is: 37,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,295.01 : 100,942.25 = 25,178.25 : x
  2. Step 2: Convert to fraction form
    67,295.01/100,942.25 = 25,178.25/x
  3. Step 3: Cross multiply
    67,295.01x = 100,942.25 × 25,178.25
  4. Step 4: Simplify right side
    67,295.01x = 2,541,549,080.17
  5. Step 5: Solve for x
    x = 2,541,549,080.17/67,295.01
  6. Step 6: Final answer
    x = 37,767.27

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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.