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Finding the Fourth Proportional to 29,809.76, 41,135.40 and 17,867.12

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Solution

The fourth proportional to 29,809.76, 41,135.40 and 17,867.12 is: 24,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.76 : 41,135.40 = 17,867.12 : x
  2. Step 2: Convert to fraction form
    29,809.76/41,135.40 = 17,867.12/x
  3. Step 3: Cross multiply
    29,809.76x = 41,135.40 × 17,867.12
  4. Step 4: Simplify right side
    29,809.76x = 734,971,128.05
  5. Step 5: Solve for x
    x = 734,971,128.05/29,809.76
  6. Step 6: Final answer
    x = 24,655.39

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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.