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Finding the Fourth Proportional to 50,414.40, 69,564.08 and 29,189.57

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Solution

The fourth proportional to 50,414.40, 69,564.08 and 29,189.57 is: 40,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.40 : 69,564.08 = 29,189.57 : x
  2. Step 2: Convert to fraction form
    50,414.40/69,564.08 = 29,189.57/x
  3. Step 3: Cross multiply
    50,414.40x = 69,564.08 × 29,189.57
  4. Step 4: Simplify right side
    50,414.40x = 2,030,545,307.80
  5. Step 5: Solve for x
    x = 2,030,545,307.80/50,414.40
  6. Step 6: Final answer
    x = 40,277.09

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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.