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Finding the Fourth Proportional to 67,407.36, 101,125.44 and 25,854

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Solution

The fourth proportional to 67,407.36, 101,125.44 and 25,854 is: 38,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,407.36 : 101,125.44 = 25,854 : x
  2. Step 2: Convert to fraction form
    67,407.36/101,125.44 = 25,854/x
  3. Step 3: Cross multiply
    67,407.36x = 101,125.44 × 25,854
  4. Step 4: Simplify right side
    67,407.36x = 2,614,497,125.76
  5. Step 5: Solve for x
    x = 2,614,497,125.76/67,407.36
  6. Step 6: Final answer
    x = 38,786.52

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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.