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Finding the Fourth Proportional to 50,517.12, 75,780 and 19,335.36

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Solution

The fourth proportional to 50,517.12, 75,780 and 19,335.36 is: 29,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517.12 : 75,780 = 19,335.36 : x
  2. Step 2: Convert to fraction form
    50,517.12/75,780 = 19,335.36/x
  3. Step 3: Cross multiply
    50,517.12x = 75,780 × 19,335.36
  4. Step 4: Simplify right side
    50,517.12x = 1,465,233,580.80
  5. Step 5: Solve for x
    x = 1,465,233,580.80/50,517.12
  6. Step 6: Final answer
    x = 29,004.69

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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.