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Finding the Fourth Proportional to 24,676.31, 37,018.32 and 8,032.42

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Solution

The fourth proportional to 24,676.31, 37,018.32 and 8,032.42 is: 12,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.31 : 37,018.32 = 8,032.42 : x
  2. Step 2: Convert to fraction form
    24,676.31/37,018.32 = 8,032.42/x
  3. Step 3: Cross multiply
    24,676.31x = 37,018.32 × 8,032.42
  4. Step 4: Simplify right side
    24,676.31x = 297,346,501.86
  5. Step 5: Solve for x
    x = 297,346,501.86/24,676.31
  6. Step 6: Final answer
    x = 12,049.88

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1.5x scale

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.