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Finding the Fourth Proportional to 32,773.89, 49,168.13 and 9,398.50

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Solution

The fourth proportional to 32,773.89, 49,168.13 and 9,398.50 is: 14,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.89 : 49,168.13 = 9,398.50 : x
  2. Step 2: Convert to fraction form
    32,773.89/49,168.13 = 9,398.50/x
  3. Step 3: Cross multiply
    32,773.89x = 49,168.13 × 9,398.50
  4. Step 4: Simplify right side
    32,773.89x = 462,106,669.81
  5. Step 5: Solve for x
    x = 462,106,669.81/32,773.89
  6. Step 6: Final answer
    x = 14,099.84

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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.