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Finding the Fourth Proportional to 50,540.78, 75,857.86 and 25,598.36

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Solution

The fourth proportional to 50,540.78, 75,857.86 and 25,598.36 is: 38,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.78 : 75,857.86 = 25,598.36 : x
  2. Step 2: Convert to fraction form
    50,540.78/75,857.86 = 25,598.36/x
  3. Step 3: Cross multiply
    50,540.78x = 75,857.86 × 25,598.36
  4. Step 4: Simplify right side
    50,540.78x = 1,941,836,809.11
  5. Step 5: Solve for x
    x = 1,941,836,809.11/50,540.78
  6. Step 6: Final answer
    x = 38,421.19

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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.