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Finding the Fourth Proportional to 32,297.83, 48,441.26 and 8,924.27

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Solution

The fourth proportional to 32,297.83, 48,441.26 and 8,924.27 is: 13,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.83 : 48,441.26 = 8,924.27 : x
  2. Step 2: Convert to fraction form
    32,297.83/48,441.26 = 8,924.27/x
  3. Step 3: Cross multiply
    32,297.83x = 48,441.26 × 8,924.27
  4. Step 4: Simplify right side
    32,297.83x = 432,302,663.48
  5. Step 5: Solve for x
    x = 432,302,663.48/32,297.83
  6. Step 6: Final answer
    x = 13,384.88

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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.