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Finding the Fourth Proportional to 55,070.50, 75,997.30 and 29,920

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Solution

The fourth proportional to 55,070.50, 75,997.30 and 29,920 is: 41,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,070.50 : 75,997.30 = 29,920 : x
  2. Step 2: Convert to fraction form
    55,070.50/75,997.30 = 29,920/x
  3. Step 3: Cross multiply
    55,070.50x = 75,997.30 × 29,920
  4. Step 4: Simplify right side
    55,070.50x = 2,273,839,216
  5. Step 5: Solve for x
    x = 2,273,839,216/55,070.50
  6. Step 6: Final answer
    x = 41,289.61

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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.