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Finding the Fourth Proportional to 87,150.64, 130,748.62 and 24,826

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Solution

The fourth proportional to 87,150.64, 130,748.62 and 24,826 is: 37,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,150.64 : 130,748.62 = 24,826 : x
  2. Step 2: Convert to fraction form
    87,150.64/130,748.62 = 24,826/x
  3. Step 3: Cross multiply
    87,150.64x = 130,748.62 × 24,826
  4. Step 4: Simplify right side
    87,150.64x = 3,245,965,240.12
  5. Step 5: Solve for x
    x = 3,245,965,240.12/87,150.64
  6. Step 6: Final answer
    x = 37,245.45

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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.