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Finding the Fourth Proportional to 30,889.17, 42,625.71 and 17,463.42

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Solution

The fourth proportional to 30,889.17, 42,625.71 and 17,463.42 is: 24,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.17 : 42,625.71 = 17,463.42 : x
  2. Step 2: Convert to fraction form
    30,889.17/42,625.71 = 17,463.42/x
  3. Step 3: Cross multiply
    30,889.17x = 42,625.71 × 17,463.42
  4. Step 4: Simplify right side
    30,889.17x = 744,390,676.53
  5. Step 5: Solve for x
    x = 744,390,676.53/30,889.17
  6. Step 6: Final answer
    x = 24,098.76

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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.