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Finding the Fourth Proportional to 82,524.42, 123,768 and 23,344.20

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Solution

The fourth proportional to 82,524.42, 123,768 and 23,344.20 is: 35,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,524.42 : 123,768 = 23,344.20 : x
  2. Step 2: Convert to fraction form
    82,524.42/123,768 = 23,344.20/x
  3. Step 3: Cross multiply
    82,524.42x = 123,768 × 23,344.20
  4. Step 4: Simplify right side
    82,524.42x = 2,889,264,945.60
  5. Step 5: Solve for x
    x = 2,889,264,945.60/82,524.42
  6. Step 6: Final answer
    x = 35,011.03

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1.5x scale

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.