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Finding the Fourth Proportional to 50,565.02, 75,858.33 and 19,400

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Solution

The fourth proportional to 50,565.02, 75,858.33 and 19,400 is: 29,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,565.02 : 75,858.33 = 19,400 : x
  2. Step 2: Convert to fraction form
    50,565.02/75,858.33 = 19,400/x
  3. Step 3: Cross multiply
    50,565.02x = 75,858.33 × 19,400
  4. Step 4: Simplify right side
    50,565.02x = 1,471,651,602
  5. Step 5: Solve for x
    x = 1,471,651,602/50,565.02
  6. Step 6: Final answer
    x = 29,104.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.