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Finding the Fourth Proportional to 73,959, 110,938.50 and 24,711

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Solution

The fourth proportional to 73,959, 110,938.50 and 24,711 is: 37,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,959 : 110,938.50 = 24,711 : x
  2. Step 2: Convert to fraction form
    73,959/110,938.50 = 24,711/x
  3. Step 3: Cross multiply
    73,959x = 110,938.50 × 24,711
  4. Step 4: Simplify right side
    73,959x = 2,741,401,273.50
  5. Step 5: Solve for x
    x = 2,741,401,273.50/73,959
  6. Step 6: Final answer
    x = 37,066.50

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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.