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Finding the Fourth Proportional to 65,191.68, 97,792.74 and 20,824.74

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Solution

The fourth proportional to 65,191.68, 97,792.74 and 20,824.74 is: 31,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.68 : 97,792.74 = 20,824.74 : x
  2. Step 2: Convert to fraction form
    65,191.68/97,792.74 = 20,824.74/x
  3. Step 3: Cross multiply
    65,191.68x = 97,792.74 × 20,824.74
  4. Step 4: Simplify right side
    65,191.68x = 2,036,508,384.39
  5. Step 5: Solve for x
    x = 2,036,508,384.39/65,191.68
  6. Step 6: Final answer
    x = 31,238.78

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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.