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Finding the Fourth Proportional to 30,872.34, 42,603.57 and 17,446.86

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Solution

The fourth proportional to 30,872.34, 42,603.57 and 17,446.86 is: 24,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.34 : 42,603.57 = 17,446.86 : x
  2. Step 2: Convert to fraction form
    30,872.34/42,603.57 = 17,446.86/x
  3. Step 3: Cross multiply
    30,872.34x = 42,603.57 × 17,446.86
  4. Step 4: Simplify right side
    30,872.34x = 743,298,521.29
  5. Step 5: Solve for x
    x = 743,298,521.29/30,872.34
  6. Step 6: Final answer
    x = 24,076.52

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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.