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Finding the Fourth Proportional to 32,489.45, 48,733.83 and 10,302.24

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Solution

The fourth proportional to 32,489.45, 48,733.83 and 10,302.24 is: 15,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.45 : 48,733.83 = 10,302.24 : x
  2. Step 2: Convert to fraction form
    32,489.45/48,733.83 = 10,302.24/x
  3. Step 3: Cross multiply
    32,489.45x = 48,733.83 × 10,302.24
  4. Step 4: Simplify right side
    32,489.45x = 502,067,492.43
  5. Step 5: Solve for x
    x = 502,067,492.43/32,489.45
  6. Step 6: Final answer
    x = 15,453.24

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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.