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Finding the Fourth Proportional to 47,886.58, 66,079.24 and 27,737.02

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Solution

The fourth proportional to 47,886.58, 66,079.24 and 27,737.02 is: 38,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886.58 : 66,079.24 = 27,737.02 : x
  2. Step 2: Convert to fraction form
    47,886.58/66,079.24 = 27,737.02/x
  3. Step 3: Cross multiply
    47,886.58x = 66,079.24 × 27,737.02
  4. Step 4: Simplify right side
    47,886.58x = 1,832,841,201.46
  5. Step 5: Solve for x
    x = 1,832,841,201.46/47,886.58
  6. Step 6: Final answer
    x = 38,274.63

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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.