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Finding the Fourth Proportional to 32,204.68, 48,309.18 and 8,829.16

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Solution

The fourth proportional to 32,204.68, 48,309.18 and 8,829.16 is: 13,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.68 : 48,309.18 = 8,829.16 : x
  2. Step 2: Convert to fraction form
    32,204.68/48,309.18 = 8,829.16/x
  3. Step 3: Cross multiply
    32,204.68x = 48,309.18 × 8,829.16
  4. Step 4: Simplify right side
    32,204.68x = 426,529,479.69
  5. Step 5: Solve for x
    x = 426,529,479.69/32,204.68
  6. Step 6: Final answer
    x = 13,244.33

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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.