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Finding the Fourth Proportional to 32,545.98, 48,819 and 10,057.14

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Solution

The fourth proportional to 32,545.98, 48,819 and 10,057.14 is: 15,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.98 : 48,819 = 10,057.14 : x
  2. Step 2: Convert to fraction form
    32,545.98/48,819 = 10,057.14/x
  3. Step 3: Cross multiply
    32,545.98x = 48,819 × 10,057.14
  4. Step 4: Simplify right side
    32,545.98x = 490,979,517.66
  5. Step 5: Solve for x
    x = 490,979,517.66/32,545.98
  6. Step 6: Final answer
    x = 15,085.72

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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.