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Finding the Fourth Proportional to 32,949.08, 49,412.06 and 14,224.04

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Solution

The fourth proportional to 32,949.08, 49,412.06 and 14,224.04 is: 21,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.08 : 49,412.06 = 14,224.04 : x
  2. Step 2: Convert to fraction form
    32,949.08/49,412.06 = 14,224.04/x
  3. Step 3: Cross multiply
    32,949.08x = 49,412.06 × 14,224.04
  4. Step 4: Simplify right side
    32,949.08x = 702,839,117.92
  5. Step 5: Solve for x
    x = 702,839,117.92/32,949.08
  6. Step 6: Final answer
    x = 21,331.07

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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.