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Finding the Fourth Proportional to 67,335.50, 101,003.25 and 25,782.50

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Solution

The fourth proportional to 67,335.50, 101,003.25 and 25,782.50 is: 38,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,335.50 : 101,003.25 = 25,782.50 : x
  2. Step 2: Convert to fraction form
    67,335.50/101,003.25 = 25,782.50/x
  3. Step 3: Cross multiply
    67,335.50x = 101,003.25 × 25,782.50
  4. Step 4: Simplify right side
    67,335.50x = 2,604,116,293.13
  5. Step 5: Solve for x
    x = 2,604,116,293.13/67,335.50
  6. Step 6: Final answer
    x = 38,673.75

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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.