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Finding the Fourth Proportional to 32,545.26, 48,784.07 and 13,837.30

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Solution

The fourth proportional to 32,545.26, 48,784.07 and 13,837.30 is: 20,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.26 : 48,784.07 = 13,837.30 : x
  2. Step 2: Convert to fraction form
    32,545.26/48,784.07 = 13,837.30/x
  3. Step 3: Cross multiply
    32,545.26x = 48,784.07 × 13,837.30
  4. Step 4: Simplify right side
    32,545.26x = 675,039,724.44
  5. Step 5: Solve for x
    x = 675,039,724.44/32,545.26
  6. Step 6: Final answer
    x = 20,741.57

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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.