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Finding the Fourth Proportional to 50,102.51, 69,139 and 27,441.60

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Solution

The fourth proportional to 50,102.51, 69,139 and 27,441.60 is: 37,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.51 : 69,139 = 27,441.60 : x
  2. Step 2: Convert to fraction form
    50,102.51/69,139 = 27,441.60/x
  3. Step 3: Cross multiply
    50,102.51x = 69,139 × 27,441.60
  4. Step 4: Simplify right side
    50,102.51x = 1,897,284,782.40
  5. Step 5: Solve for x
    x = 1,897,284,782.40/50,102.51
  6. Step 6: Final answer
    x = 37,868.06

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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.