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Finding the Fourth Proportional to 70,536.28, 97,324.86 and 40,711

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Solution

The fourth proportional to 70,536.28, 97,324.86 and 40,711 is: 56,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.28 : 97,324.86 = 40,711 : x
  2. Step 2: Convert to fraction form
    70,536.28/97,324.86 = 40,711/x
  3. Step 3: Cross multiply
    70,536.28x = 97,324.86 × 40,711
  4. Step 4: Simplify right side
    70,536.28x = 3,962,192,375.46
  5. Step 5: Solve for x
    x = 3,962,192,375.46/70,536.28
  6. Step 6: Final answer
    x = 56,172.40

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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.