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Finding the Fourth Proportional to 52,781.08, 72,834.78 and 28,903

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Solution

The fourth proportional to 52,781.08, 72,834.78 and 28,903 is: 39,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,781.08 : 72,834.78 = 28,903 : x
  2. Step 2: Convert to fraction form
    52,781.08/72,834.78 = 28,903/x
  3. Step 3: Cross multiply
    52,781.08x = 72,834.78 × 28,903
  4. Step 4: Simplify right side
    52,781.08x = 2,105,143,646.34
  5. Step 5: Solve for x
    x = 2,105,143,646.34/52,781.08
  6. Step 6: Final answer
    x = 39,884.44

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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.