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Finding the Fourth Proportional to 92,758.08, 139,107.96 and 30,414

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Solution

The fourth proportional to 92,758.08, 139,107.96 and 30,414 is: 45,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,758.08 : 139,107.96 = 30,414 : x
  2. Step 2: Convert to fraction form
    92,758.08/139,107.96 = 30,414/x
  3. Step 3: Cross multiply
    92,758.08x = 139,107.96 × 30,414
  4. Step 4: Simplify right side
    92,758.08x = 4,230,829,495.44
  5. Step 5: Solve for x
    x = 4,230,829,495.44/92,758.08
  6. Step 6: Final answer
    x = 45,611.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.