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Finding the Fourth Proportional to 45,141.68, 67,576.44 and 24,302

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Solution

The fourth proportional to 45,141.68, 67,576.44 and 24,302 is: 36,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141.68 : 67,576.44 = 24,302 : x
  2. Step 2: Convert to fraction form
    45,141.68/67,576.44 = 24,302/x
  3. Step 3: Cross multiply
    45,141.68x = 67,576.44 × 24,302
  4. Step 4: Simplify right side
    45,141.68x = 1,642,242,644.88
  5. Step 5: Solve for x
    x = 1,642,242,644.88/45,141.68
  6. Step 6: Final answer
    x = 36,379.74

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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.