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Finding the Fourth Proportional to 50,102.91, 69,139.54 and 27,442.00

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Solution

The fourth proportional to 50,102.91, 69,139.54 and 27,442.00 is: 37,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.91 : 69,139.54 = 27,442.00 : x
  2. Step 2: Convert to fraction form
    50,102.91/69,139.54 = 27,442.00/x
  3. Step 3: Cross multiply
    50,102.91x = 69,139.54 × 27,442.00
  4. Step 4: Simplify right side
    50,102.91x = 1,897,326,910.98
  5. Step 5: Solve for x
    x = 1,897,326,910.98/50,102.91
  6. Step 6: Final answer
    x = 37,868.60

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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.