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Finding the Fourth Proportional to 36,586.24, 54,878.88 and 8,884

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Solution

The fourth proportional to 36,586.24, 54,878.88 and 8,884 is: 13,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.24 : 54,878.88 = 8,884 : x
  2. Step 2: Convert to fraction form
    36,586.24/54,878.88 = 8,884/x
  3. Step 3: Cross multiply
    36,586.24x = 54,878.88 × 8,884
  4. Step 4: Simplify right side
    36,586.24x = 487,543,969.92
  5. Step 5: Solve for x
    x = 487,543,969.92/36,586.24
  6. Step 6: Final answer
    x = 13,325.88

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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.