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Finding the Fourth Proportional to 32,524.61, 48,790.17 and 8,832.51

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Solution

The fourth proportional to 32,524.61, 48,790.17 and 8,832.51 is: 13,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.61 : 48,790.17 = 8,832.51 : x
  2. Step 2: Convert to fraction form
    32,524.61/48,790.17 = 8,832.51/x
  3. Step 3: Cross multiply
    32,524.61x = 48,790.17 × 8,832.51
  4. Step 4: Simplify right side
    32,524.61x = 430,939,664.43
  5. Step 5: Solve for x
    x = 430,939,664.43/32,524.61
  6. Step 6: Final answer
    x = 13,249.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.