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Finding the Fourth Proportional to 50,557.66, 75,848.34 and 17,278

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Solution

The fourth proportional to 50,557.66, 75,848.34 and 17,278 is: 25,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,557.66 : 75,848.34 = 17,278 : x
  2. Step 2: Convert to fraction form
    50,557.66/75,848.34 = 17,278/x
  3. Step 3: Cross multiply
    50,557.66x = 75,848.34 × 17,278
  4. Step 4: Simplify right side
    50,557.66x = 1,310,507,618.52
  5. Step 5: Solve for x
    x = 1,310,507,618.52/50,557.66
  6. Step 6: Final answer
    x = 25,921.05

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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.