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Finding the Fourth Proportional to 32,084.84, 48,131.22 and 11,029.16

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Solution

The fourth proportional to 32,084.84, 48,131.22 and 11,029.16 is: 16,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.84 : 48,131.22 = 11,029.16 : x
  2. Step 2: Convert to fraction form
    32,084.84/48,131.22 = 11,029.16/x
  3. Step 3: Cross multiply
    32,084.84x = 48,131.22 × 11,029.16
  4. Step 4: Simplify right side
    32,084.84x = 530,846,926.38
  5. Step 5: Solve for x
    x = 530,846,926.38/32,084.84
  6. Step 6: Final answer
    x = 16,545.10

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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.