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Finding the Fourth Proportional to 36,299.50, 54,398.16 and 28,871

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Solution

The fourth proportional to 36,299.50, 54,398.16 and 28,871 is: 43,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299.50 : 54,398.16 = 28,871 : x
  2. Step 2: Convert to fraction form
    36,299.50/54,398.16 = 28,871/x
  3. Step 3: Cross multiply
    36,299.50x = 54,398.16 × 28,871
  4. Step 4: Simplify right side
    36,299.50x = 1,570,529,277.36
  5. Step 5: Solve for x
    x = 1,570,529,277.36/36,299.50
  6. Step 6: Final answer
    x = 43,265.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.