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Finding the Fourth Proportional to 50,466.78, 75,614.09 and 35,647.16

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Solution

The fourth proportional to 50,466.78, 75,614.09 and 35,647.16 is: 53,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,466.78 : 75,614.09 = 35,647.16 : x
  2. Step 2: Convert to fraction form
    50,466.78/75,614.09 = 35,647.16/x
  3. Step 3: Cross multiply
    50,466.78x = 75,614.09 × 35,647.16
  4. Step 4: Simplify right side
    50,466.78x = 2,695,427,008.18
  5. Step 5: Solve for x
    x = 2,695,427,008.18/50,466.78
  6. Step 6: Final answer
    x = 53,409.93

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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.