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Finding the Fourth Proportional to 42,184, 58,214.88 and 27,305.92

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Solution

The fourth proportional to 42,184, 58,214.88 and 27,305.92 is: 37,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,184 : 58,214.88 = 27,305.92 : x
  2. Step 2: Convert to fraction form
    42,184/58,214.88 = 27,305.92/x
  3. Step 3: Cross multiply
    42,184x = 58,214.88 × 27,305.92
  4. Step 4: Simplify right side
    42,184x = 1,589,610,856.09
  5. Step 5: Solve for x
    x = 1,589,610,856.09/42,184
  6. Step 6: Final answer
    x = 37,682.79

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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.