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Finding the Fourth Proportional to 52,740, 72,781.20 and 29,188

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Solution

The fourth proportional to 52,740, 72,781.20 and 29,188 is: 40,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,740 : 72,781.20 = 29,188 : x
  2. Step 2: Convert to fraction form
    52,740/72,781.20 = 29,188/x
  3. Step 3: Cross multiply
    52,740x = 72,781.20 × 29,188
  4. Step 4: Simplify right side
    52,740x = 2,124,337,665.60
  5. Step 5: Solve for x
    x = 2,124,337,665.60/52,740
  6. Step 6: Final answer
    x = 40,279.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.