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Finding the Fourth Proportional to 37,838.52, 56,757.64 and 11,543.20

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Solution

The fourth proportional to 37,838.52, 56,757.64 and 11,543.20 is: 17,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.52 : 56,757.64 = 11,543.20 : x
  2. Step 2: Convert to fraction form
    37,838.52/56,757.64 = 11,543.20/x
  3. Step 3: Cross multiply
    37,838.52x = 56,757.64 × 11,543.20
  4. Step 4: Simplify right side
    37,838.52x = 655,164,790.05
  5. Step 5: Solve for x
    x = 655,164,790.05/37,838.52
  6. Step 6: Final answer
    x = 17,314.76

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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.