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Finding the Fourth Proportional to 52,497.50, 78,778.40 and 20,922.71

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Solution

The fourth proportional to 52,497.50, 78,778.40 and 20,922.71 is: 31,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.50 : 78,778.40 = 20,922.71 : x
  2. Step 2: Convert to fraction form
    52,497.50/78,778.40 = 20,922.71/x
  3. Step 3: Cross multiply
    52,497.50x = 78,778.40 × 20,922.71
  4. Step 4: Simplify right side
    52,497.50x = 1,648,257,118.96
  5. Step 5: Solve for x
    x = 1,648,257,118.96/52,497.50
  6. Step 6: Final answer
    x = 31,396.87

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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.