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Finding the Fourth Proportional to 32,285.64, 48,424.86 and 11,222.04

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Solution

The fourth proportional to 32,285.64, 48,424.86 and 11,222.04 is: 16,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.64 : 48,424.86 = 11,222.04 : x
  2. Step 2: Convert to fraction form
    32,285.64/48,424.86 = 11,222.04/x
  3. Step 3: Cross multiply
    32,285.64x = 48,424.86 × 11,222.04
  4. Step 4: Simplify right side
    32,285.64x = 543,425,715.91
  5. Step 5: Solve for x
    x = 543,425,715.91/32,285.64
  6. Step 6: Final answer
    x = 16,831.81

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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.