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Finding the Fourth Proportional to 31,093.73, 42,925.11 and 18,350.78

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Solution

The fourth proportional to 31,093.73, 42,925.11 and 18,350.78 is: 25,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.73 : 42,925.11 = 18,350.78 : x
  2. Step 2: Convert to fraction form
    31,093.73/42,925.11 = 18,350.78/x
  3. Step 3: Cross multiply
    31,093.73x = 42,925.11 × 18,350.78
  4. Step 4: Simplify right side
    31,093.73x = 787,709,035.46
  5. Step 5: Solve for x
    x = 787,709,035.46/31,093.73
  6. Step 6: Final answer
    x = 25,333.38

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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.