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Finding the Fourth Proportional to 29,564.42, 40,799.38 and 17,634.74

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Solution

The fourth proportional to 29,564.42, 40,799.38 and 17,634.74 is: 24,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.42 : 40,799.38 = 17,634.74 : x
  2. Step 2: Convert to fraction form
    29,564.42/40,799.38 = 17,634.74/x
  3. Step 3: Cross multiply
    29,564.42x = 40,799.38 × 17,634.74
  4. Step 4: Simplify right side
    29,564.42x = 719,486,458.46
  5. Step 5: Solve for x
    x = 719,486,458.46/29,564.42
  6. Step 6: Final answer
    x = 24,336.23

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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.