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Finding the Fourth Proportional to 37,817.84, 56,722.46 and 10,118

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Solution

The fourth proportional to 37,817.84, 56,722.46 and 10,118 is: 15,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,817.84 : 56,722.46 = 10,118 : x
  2. Step 2: Convert to fraction form
    37,817.84/56,722.46 = 10,118/x
  3. Step 3: Cross multiply
    37,817.84x = 56,722.46 × 10,118
  4. Step 4: Simplify right side
    37,817.84x = 573,917,850.28
  5. Step 5: Solve for x
    x = 573,917,850.28/37,817.84
  6. Step 6: Final answer
    x = 15,175.85

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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.