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Finding the Fourth Proportional to 32,198.93, 48,298.73 and 8,825.37

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Solution

The fourth proportional to 32,198.93, 48,298.73 and 8,825.37 is: 13,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.93 : 48,298.73 = 8,825.37 : x
  2. Step 2: Convert to fraction form
    32,198.93/48,298.73 = 8,825.37/x
  3. Step 3: Cross multiply
    32,198.93x = 48,298.73 × 8,825.37
  4. Step 4: Simplify right side
    32,198.93x = 426,253,877.16
  5. Step 5: Solve for x
    x = 426,253,877.16/32,198.93
  6. Step 6: Final answer
    x = 13,238.14

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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.