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Finding the Fourth Proportional to 47,959.46, 66,182.73 and 27,815.06

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Solution

The fourth proportional to 47,959.46, 66,182.73 and 27,815.06 is: 38,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.46 : 66,182.73 = 27,815.06 : x
  2. Step 2: Convert to fraction form
    47,959.46/66,182.73 = 27,815.06/x
  3. Step 3: Cross multiply
    47,959.46x = 66,182.73 × 27,815.06
  4. Step 4: Simplify right side
    47,959.46x = 1,840,876,275.00
  5. Step 5: Solve for x
    x = 1,840,876,275.00/47,959.46
  6. Step 6: Final answer
    x = 38,384.01

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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.