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Finding the Fourth Proportional to 32,664.42, 48,998.34 and 9,292.68

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Solution

The fourth proportional to 32,664.42, 48,998.34 and 9,292.68 is: 13,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664.42 : 48,998.34 = 9,292.68 : x
  2. Step 2: Convert to fraction form
    32,664.42/48,998.34 = 9,292.68/x
  3. Step 3: Cross multiply
    32,664.42x = 48,998.34 × 9,292.68
  4. Step 4: Simplify right side
    32,664.42x = 455,325,894.15
  5. Step 5: Solve for x
    x = 455,325,894.15/32,664.42
  6. Step 6: Final answer
    x = 13,939.51

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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.