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Finding the Fourth Proportional to 32,893.87, 49,343.92 and 9,201.42

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Solution

The fourth proportional to 32,893.87, 49,343.92 and 9,201.42 is: 13,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.87 : 49,343.92 = 9,201.42 : x
  2. Step 2: Convert to fraction form
    32,893.87/49,343.92 = 9,201.42/x
  3. Step 3: Cross multiply
    32,893.87x = 49,343.92 × 9,201.42
  4. Step 4: Simplify right side
    32,893.87x = 454,034,132.37
  5. Step 5: Solve for x
    x = 454,034,132.37/32,893.87
  6. Step 6: Final answer
    x = 13,803.00

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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.