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Finding the Fourth Proportional to 42,295, 58,340.10 and 27,182.56

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Solution

The fourth proportional to 42,295, 58,340.10 and 27,182.56 is: 37,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295 : 58,340.10 = 27,182.56 : x
  2. Step 2: Convert to fraction form
    42,295/58,340.10 = 27,182.56/x
  3. Step 3: Cross multiply
    42,295x = 58,340.10 × 27,182.56
  4. Step 4: Simplify right side
    42,295x = 1,585,833,268.66
  5. Step 5: Solve for x
    x = 1,585,833,268.66/42,295
  6. Step 6: Final answer
    x = 37,494.58

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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.