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Finding the Fourth Proportional to 112,920, 169,391.34 and 29,814

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Solution

The fourth proportional to 112,920, 169,391.34 and 29,814 is: 44,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,920 : 169,391.34 = 29,814 : x
  2. Step 2: Convert to fraction form
    112,920/169,391.34 = 29,814/x
  3. Step 3: Cross multiply
    112,920x = 169,391.34 × 29,814
  4. Step 4: Simplify right side
    112,920x = 5,050,233,410.76
  5. Step 5: Solve for x
    x = 5,050,233,410.76/112,920
  6. Step 6: Final answer
    x = 44,723.99

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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.