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Finding the Fourth Proportional to 32,665.30, 49,055.42 and 32,197.84

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Solution

The fourth proportional to 32,665.30, 49,055.42 and 32,197.84 is: 48,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.30 : 49,055.42 = 32,197.84 : x
  2. Step 2: Convert to fraction form
    32,665.30/49,055.42 = 32,197.84/x
  3. Step 3: Cross multiply
    32,665.30x = 49,055.42 × 32,197.84
  4. Step 4: Simplify right side
    32,665.30x = 1,579,478,564.29
  5. Step 5: Solve for x
    x = 1,579,478,564.29/32,665.30
  6. Step 6: Final answer
    x = 48,353.41

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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.