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Finding the Fourth Proportional to 37,314.42, 51,497.55 and 27,866.58

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Solution

The fourth proportional to 37,314.42, 51,497.55 and 27,866.58 is: 38,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314.42 : 51,497.55 = 27,866.58 : x
  2. Step 2: Convert to fraction form
    37,314.42/51,497.55 = 27,866.58/x
  3. Step 3: Cross multiply
    37,314.42x = 51,497.55 × 27,866.58
  4. Step 4: Simplify right side
    37,314.42x = 1,435,060,596.88
  5. Step 5: Solve for x
    x = 1,435,060,596.88/37,314.42
  6. Step 6: Final answer
    x = 38,458.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.