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Finding the Fourth Proportional to 32,777.93, 49,167.16 and 9,405.11

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Solution

The fourth proportional to 32,777.93, 49,167.16 and 9,405.11 is: 14,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777.93 : 49,167.16 = 9,405.11 : x
  2. Step 2: Convert to fraction form
    32,777.93/49,167.16 = 9,405.11/x
  3. Step 3: Cross multiply
    32,777.93x = 49,167.16 × 9,405.11
  4. Step 4: Simplify right side
    32,777.93x = 462,422,278.84
  5. Step 5: Solve for x
    x = 462,422,278.84/32,777.93
  6. Step 6: Final answer
    x = 14,107.73

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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.