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Finding the Fourth Proportional to 87,183.50, 130,776.47 and 24,854

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Solution

The fourth proportional to 87,183.50, 130,776.47 and 24,854 is: 37,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,183.50 : 130,776.47 = 24,854 : x
  2. Step 2: Convert to fraction form
    87,183.50/130,776.47 = 24,854/x
  3. Step 3: Cross multiply
    87,183.50x = 130,776.47 × 24,854
  4. Step 4: Simplify right side
    87,183.50x = 3,250,318,261.11
  5. Step 5: Solve for x
    x = 3,250,318,261.11/87,183.50
  6. Step 6: Final answer
    x = 37,281.35

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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.