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Finding the Fourth Proportional to 42,441, 58,573.02 and 23,578.12

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Solution

The fourth proportional to 42,441, 58,573.02 and 23,578.12 is: 32,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441 : 58,573.02 = 23,578.12 : x
  2. Step 2: Convert to fraction form
    42,441/58,573.02 = 23,578.12/x
  3. Step 3: Cross multiply
    42,441x = 58,573.02 × 23,578.12
  4. Step 4: Simplify right side
    42,441x = 1,381,041,694.32
  5. Step 5: Solve for x
    x = 1,381,041,694.32/42,441
  6. Step 6: Final answer
    x = 32,540.27

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Why These Related Problems?

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