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Finding the Fourth Proportional to 47,873.31, 66,068.06 and 27,736.53

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Solution

The fourth proportional to 47,873.31, 66,068.06 and 27,736.53 is: 38,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.31 : 66,068.06 = 27,736.53 : x
  2. Step 2: Convert to fraction form
    47,873.31/66,068.06 = 27,736.53/x
  3. Step 3: Cross multiply
    47,873.31x = 66,068.06 × 27,736.53
  4. Step 4: Simplify right side
    47,873.31x = 1,832,498,589.55
  5. Step 5: Solve for x
    x = 1,832,498,589.55/47,873.31
  6. Step 6: Final answer
    x = 38,278.08

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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.