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Finding the Fourth Proportional to 112,834, 169,261.26 and 29,728

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Solution

The fourth proportional to 112,834, 169,261.26 and 29,728 is: 44,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,834 : 169,261.26 = 29,728 : x
  2. Step 2: Convert to fraction form
    112,834/169,261.26 = 29,728/x
  3. Step 3: Cross multiply
    112,834x = 169,261.26 × 29,728
  4. Step 4: Simplify right side
    112,834x = 5,031,798,737.28
  5. Step 5: Solve for x
    x = 5,031,798,737.28/112,834
  6. Step 6: Final answer
    x = 44,594.70

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