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Finding the Fourth Proportional to 32,796.07, 49,194.41 and 9,422.51

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Solution

The fourth proportional to 32,796.07, 49,194.41 and 9,422.51 is: 14,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.07 : 49,194.41 = 9,422.51 : x
  2. Step 2: Convert to fraction form
    32,796.07/49,194.41 = 9,422.51/x
  3. Step 3: Cross multiply
    32,796.07x = 49,194.41 × 9,422.51
  4. Step 4: Simplify right side
    32,796.07x = 463,534,527.08
  5. Step 5: Solve for x
    x = 463,534,527.08/32,796.07
  6. Step 6: Final answer
    x = 14,133.84

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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.