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Finding the Fourth Proportional to 32,402.68, 48,599.41 and 10,213.17

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Solution

The fourth proportional to 32,402.68, 48,599.41 and 10,213.17 is: 15,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.68 : 48,599.41 = 10,213.17 : x
  2. Step 2: Convert to fraction form
    32,402.68/48,599.41 = 10,213.17/x
  3. Step 3: Cross multiply
    32,402.68x = 48,599.41 × 10,213.17
  4. Step 4: Simplify right side
    32,402.68x = 496,354,192.94
  5. Step 5: Solve for x
    x = 496,354,192.94/32,402.68
  6. Step 6: Final answer
    x = 15,318.31

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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.