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Finding the Fourth Proportional to 32,406, 44,720.28 and 17,502

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Solution

The fourth proportional to 32,406, 44,720.28 and 17,502 is: 24,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406 : 44,720.28 = 17,502 : x
  2. Step 2: Convert to fraction form
    32,406/44,720.28 = 17,502/x
  3. Step 3: Cross multiply
    32,406x = 44,720.28 × 17,502
  4. Step 4: Simplify right side
    32,406x = 782,694,340.56
  5. Step 5: Solve for x
    x = 782,694,340.56/32,406
  6. Step 6: Final answer
    x = 24,152.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.