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Finding the Fourth Proportional to 32,402.84, 48,606 and 10,217.96

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Solution

The fourth proportional to 32,402.84, 48,606 and 10,217.96 is: 15,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.84 : 48,606 = 10,217.96 : x
  2. Step 2: Convert to fraction form
    32,402.84/48,606 = 10,217.96/x
  3. Step 3: Cross multiply
    32,402.84x = 48,606 × 10,217.96
  4. Step 4: Simplify right side
    32,402.84x = 496,654,163.76
  5. Step 5: Solve for x
    x = 496,654,163.76/32,402.84
  6. Step 6: Final answer
    x = 15,327.49

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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.