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Finding the Fourth Proportional to 37,814.84, 56,717.96 and 10,115

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Solution

The fourth proportional to 37,814.84, 56,717.96 and 10,115 is: 15,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.84 : 56,717.96 = 10,115 : x
  2. Step 2: Convert to fraction form
    37,814.84/56,717.96 = 10,115/x
  3. Step 3: Cross multiply
    37,814.84x = 56,717.96 × 10,115
  4. Step 4: Simplify right side
    37,814.84x = 573,702,165.40
  5. Step 5: Solve for x
    x = 573,702,165.40/37,814.84
  6. Step 6: Final answer
    x = 15,171.35

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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.