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Finding the Fourth Proportional to 37,151.46, 55,729.62 and 10,854

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Solution

The fourth proportional to 37,151.46, 55,729.62 and 10,854 is: 16,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151.46 : 55,729.62 = 10,854 : x
  2. Step 2: Convert to fraction form
    37,151.46/55,729.62 = 10,854/x
  3. Step 3: Cross multiply
    37,151.46x = 55,729.62 × 10,854
  4. Step 4: Simplify right side
    37,151.46x = 604,889,295.48
  5. Step 5: Solve for x
    x = 604,889,295.48/37,151.46
  6. Step 6: Final answer
    x = 16,281.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.