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Finding the Fourth Proportional to 30,719.94, 42,400.17 and 18,146.58

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Solution

The fourth proportional to 30,719.94, 42,400.17 and 18,146.58 is: 25,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.94 : 42,400.17 = 18,146.58 : x
  2. Step 2: Convert to fraction form
    30,719.94/42,400.17 = 18,146.58/x
  3. Step 3: Cross multiply
    30,719.94x = 42,400.17 × 18,146.58
  4. Step 4: Simplify right side
    30,719.94x = 769,418,076.92
  5. Step 5: Solve for x
    x = 769,418,076.92/30,719.94
  6. Step 6: Final answer
    x = 25,046.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.