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Finding the Fourth Proportional to 32,616.92, 48,911.70 and 10,424.36

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Solution

The fourth proportional to 32,616.92, 48,911.70 and 10,424.36 is: 15,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.92 : 48,911.70 = 10,424.36 : x
  2. Step 2: Convert to fraction form
    32,616.92/48,911.70 = 10,424.36/x
  3. Step 3: Cross multiply
    32,616.92x = 48,911.70 × 10,424.36
  4. Step 4: Simplify right side
    32,616.92x = 509,873,169.01
  5. Step 5: Solve for x
    x = 509,873,169.01/32,616.92
  6. Step 6: Final answer
    x = 15,632.17

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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.