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Finding the Fourth Proportional to 73,981, 110,986.14 and 24,057.88

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Solution

The fourth proportional to 73,981, 110,986.14 and 24,057.88 is: 36,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981 : 110,986.14 = 24,057.88 : x
  2. Step 2: Convert to fraction form
    73,981/110,986.14 = 24,057.88/x
  3. Step 3: Cross multiply
    73,981x = 110,986.14 × 24,057.88
  4. Step 4: Simplify right side
    73,981x = 2,670,091,237.78
  5. Step 5: Solve for x
    x = 2,670,091,237.78/73,981
  6. Step 6: Final answer
    x = 36,091.58

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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.