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Finding the Fourth Proportional to 103,350, 155,026.44 and 29,478

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Solution

The fourth proportional to 103,350, 155,026.44 and 29,478 is: 44,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,350 : 155,026.44 = 29,478 : x
  2. Step 2: Convert to fraction form
    103,350/155,026.44 = 29,478/x
  3. Step 3: Cross multiply
    103,350x = 155,026.44 × 29,478
  4. Step 4: Simplify right side
    103,350x = 4,569,869,398.32
  5. Step 5: Solve for x
    x = 4,569,869,398.32/103,350
  6. Step 6: Final answer
    x = 44,217.41

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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.