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Finding the Fourth Proportional to 42,138.56, 58,165.92 and 27,995.20

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Solution

The fourth proportional to 42,138.56, 58,165.92 and 27,995.20 is: 38,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.56 : 58,165.92 = 27,995.20 : x
  2. Step 2: Convert to fraction form
    42,138.56/58,165.92 = 27,995.20/x
  3. Step 3: Cross multiply
    42,138.56x = 58,165.92 × 27,995.20
  4. Step 4: Simplify right side
    42,138.56x = 1,628,366,563.58
  5. Step 5: Solve for x
    x = 1,628,366,563.58/42,138.56
  6. Step 6: Final answer
    x = 38,643.15

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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.