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Finding the Fourth Proportional to 37,838.66, 56,757.83 and 11,543.31

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Solution

The fourth proportional to 37,838.66, 56,757.83 and 11,543.31 is: 17,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.66 : 56,757.83 = 11,543.31 : x
  2. Step 2: Convert to fraction form
    37,838.66/56,757.83 = 11,543.31/x
  3. Step 3: Cross multiply
    37,838.66x = 56,757.83 × 11,543.31
  4. Step 4: Simplify right side
    37,838.66x = 655,173,168.90
  5. Step 5: Solve for x
    x = 655,173,168.90/37,838.66
  6. Step 6: Final answer
    x = 17,314.92

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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.