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Finding the Fourth Proportional to 43,642.56, 65,480.04 and 22,851.48

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Solution

The fourth proportional to 43,642.56, 65,480.04 and 22,851.48 is: 34,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642.56 : 65,480.04 = 22,851.48 : x
  2. Step 2: Convert to fraction form
    43,642.56/65,480.04 = 22,851.48/x
  3. Step 3: Cross multiply
    43,642.56x = 65,480.04 × 22,851.48
  4. Step 4: Simplify right side
    43,642.56x = 1,496,315,824.46
  5. Step 5: Solve for x
    x = 1,496,315,824.46/43,642.56
  6. Step 6: Final answer
    x = 34,285.70

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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.