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Finding the Fourth Proportional to 72,178.88, 108,277.12 and 30,611.84

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Solution

The fourth proportional to 72,178.88, 108,277.12 and 30,611.84 is: 45,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,178.88 : 108,277.12 = 30,611.84 : x
  2. Step 2: Convert to fraction form
    72,178.88/108,277.12 = 30,611.84/x
  3. Step 3: Cross multiply
    72,178.88x = 108,277.12 × 30,611.84
  4. Step 4: Simplify right side
    72,178.88x = 3,314,561,873.10
  5. Step 5: Solve for x
    x = 3,314,561,873.10/72,178.88
  6. Step 6: Final answer
    x = 45,921.49

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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.