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Finding the Fourth Proportional to 42,884.28, 59,180.22 and 24,021

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Solution

The fourth proportional to 42,884.28, 59,180.22 and 24,021 is: 33,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.28 : 59,180.22 = 24,021 : x
  2. Step 2: Convert to fraction form
    42,884.28/59,180.22 = 24,021/x
  3. Step 3: Cross multiply
    42,884.28x = 59,180.22 × 24,021
  4. Step 4: Simplify right side
    42,884.28x = 1,421,568,064.62
  5. Step 5: Solve for x
    x = 1,421,568,064.62/42,884.28
  6. Step 6: Final answer
    x = 33,148.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.