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Finding the Fourth Proportional to 32,847.46, 45,329.49 and 17,740.13

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Solution

The fourth proportional to 32,847.46, 45,329.49 and 17,740.13 is: 24,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.46 : 45,329.49 = 17,740.13 : x
  2. Step 2: Convert to fraction form
    32,847.46/45,329.49 = 17,740.13/x
  3. Step 3: Cross multiply
    32,847.46x = 45,329.49 × 17,740.13
  4. Step 4: Simplify right side
    32,847.46x = 804,151,073.76
  5. Step 5: Solve for x
    x = 804,151,073.76/32,847.46
  6. Step 6: Final answer
    x = 24,481.38

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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.