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Finding the Fourth Proportional to 50,102.64, 69,142.70 and 27,442.59

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Solution

The fourth proportional to 50,102.64, 69,142.70 and 27,442.59 is: 37,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.64 : 69,142.70 = 27,442.59 : x
  2. Step 2: Convert to fraction form
    50,102.64/69,142.70 = 27,442.59/x
  3. Step 3: Cross multiply
    50,102.64x = 69,142.70 × 27,442.59
  4. Step 4: Simplify right side
    50,102.64x = 1,897,454,630.38
  5. Step 5: Solve for x
    x = 1,897,454,630.38/50,102.64
  6. Step 6: Final answer
    x = 37,871.35

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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.