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Finding the Fourth Proportional to 72,987.75, 100,723.23 and 39,453.75

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Solution

The fourth proportional to 72,987.75, 100,723.23 and 39,453.75 is: 54,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.75 : 100,723.23 = 39,453.75 : x
  2. Step 2: Convert to fraction form
    72,987.75/100,723.23 = 39,453.75/x
  3. Step 3: Cross multiply
    72,987.75x = 100,723.23 × 39,453.75
  4. Step 4: Simplify right side
    72,987.75x = 3,973,909,135.61
  5. Step 5: Solve for x
    x = 3,973,909,135.61/72,987.75
  6. Step 6: Final answer
    x = 54,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.