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Finding the Fourth Proportional to 24,676.81, 37,018.29 and 8,032.38

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Solution

The fourth proportional to 24,676.81, 37,018.29 and 8,032.38 is: 12,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.81 : 37,018.29 = 8,032.38 : x
  2. Step 2: Convert to fraction form
    24,676.81/37,018.29 = 8,032.38/x
  3. Step 3: Cross multiply
    24,676.81x = 37,018.29 × 8,032.38
  4. Step 4: Simplify right side
    24,676.81x = 297,344,972.23
  5. Step 5: Solve for x
    x = 297,344,972.23/24,676.81
  6. Step 6: Final answer
    x = 12,049.57

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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.