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Finding the Fourth Proportional to 32,451.29, 48,659.09 and 14,661.05

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Solution

The fourth proportional to 32,451.29, 48,659.09 and 14,661.05 is: 21,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.29 : 48,659.09 = 14,661.05 : x
  2. Step 2: Convert to fraction form
    32,451.29/48,659.09 = 14,661.05/x
  3. Step 3: Cross multiply
    32,451.29x = 48,659.09 × 14,661.05
  4. Step 4: Simplify right side
    32,451.29x = 713,393,278.14
  5. Step 5: Solve for x
    x = 713,393,278.14/32,451.29
  6. Step 6: Final answer
    x = 21,983.51

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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.