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Finding the Fourth Proportional to 32,664.60, 48,997.17 and 10,478.16

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Solution

The fourth proportional to 32,664.60, 48,997.17 and 10,478.16 is: 15,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664.60 : 48,997.17 = 10,478.16 : x
  2. Step 2: Convert to fraction form
    32,664.60/48,997.17 = 10,478.16/x
  3. Step 3: Cross multiply
    32,664.60x = 48,997.17 × 10,478.16
  4. Step 4: Simplify right side
    32,664.60x = 513,400,186.81
  5. Step 5: Solve for x
    x = 513,400,186.81/32,664.60
  6. Step 6: Final answer
    x = 15,717.33

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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.