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Finding the Fourth Proportional to 65,226.62, 97,836.62 and 38,224.23

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Solution

The fourth proportional to 65,226.62, 97,836.62 and 38,224.23 is: 57,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.62 : 97,836.62 = 38,224.23 : x
  2. Step 2: Convert to fraction form
    65,226.62/97,836.62 = 38,224.23/x
  3. Step 3: Cross multiply
    65,226.62x = 97,836.62 × 38,224.23
  4. Step 4: Simplify right side
    65,226.62x = 3,739,729,274.18
  5. Step 5: Solve for x
    x = 3,739,729,274.18/65,226.62
  6. Step 6: Final answer
    x = 57,334.41

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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.