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Finding the Fourth Proportional to 38,545.72, 57,818.34 and 19,831

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Solution

The fourth proportional to 38,545.72, 57,818.34 and 19,831 is: 29,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.72 : 57,818.34 = 19,831 : x
  2. Step 2: Convert to fraction form
    38,545.72/57,818.34 = 19,831/x
  3. Step 3: Cross multiply
    38,545.72x = 57,818.34 × 19,831
  4. Step 4: Simplify right side
    38,545.72x = 1,146,595,500.54
  5. Step 5: Solve for x
    x = 1,146,595,500.54/38,545.72
  6. Step 6: Final answer
    x = 29,746.38

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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.