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Finding the Fourth Proportional to 32,524.91, 48,803.76 and 12,817.61

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Solution

The fourth proportional to 32,524.91, 48,803.76 and 12,817.61 is: 19,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.91 : 48,803.76 = 12,817.61 : x
  2. Step 2: Convert to fraction form
    32,524.91/48,803.76 = 12,817.61/x
  3. Step 3: Cross multiply
    32,524.91x = 48,803.76 × 12,817.61
  4. Step 4: Simplify right side
    32,524.91x = 625,547,562.21
  5. Step 5: Solve for x
    x = 625,547,562.21/32,524.91
  6. Step 6: Final answer
    x = 19,232.88

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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.