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Finding the Fourth Proportional to 29,211, 40,317.48 and 18,598.38

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Solution

The fourth proportional to 29,211, 40,317.48 and 18,598.38 is: 25,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211 : 40,317.48 = 18,598.38 : x
  2. Step 2: Convert to fraction form
    29,211/40,317.48 = 18,598.38/x
  3. Step 3: Cross multiply
    29,211x = 40,317.48 × 18,598.38
  4. Step 4: Simplify right side
    29,211x = 749,839,813.68
  5. Step 5: Solve for x
    x = 749,839,813.68/29,211
  6. Step 6: Final answer
    x = 25,669.78

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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.