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Finding the Fourth Proportional to 32,266.38, 48,395.93 and 11,202.74

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Solution

The fourth proportional to 32,266.38, 48,395.93 and 11,202.74 is: 16,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.38 : 48,395.93 = 11,202.74 : x
  2. Step 2: Convert to fraction form
    32,266.38/48,395.93 = 11,202.74/x
  3. Step 3: Cross multiply
    32,266.38x = 48,395.93 × 11,202.74
  4. Step 4: Simplify right side
    32,266.38x = 542,166,722.85
  5. Step 5: Solve for x
    x = 542,166,722.85/32,266.38
  6. Step 6: Final answer
    x = 16,802.84

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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.