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Finding the Fourth Proportional to 71,145.09, 106,733.03 and 37,860.28

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Solution

The fourth proportional to 71,145.09, 106,733.03 and 37,860.28 is: 56,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.09 : 106,733.03 = 37,860.28 : x
  2. Step 2: Convert to fraction form
    71,145.09/106,733.03 = 37,860.28/x
  3. Step 3: Cross multiply
    71,145.09x = 106,733.03 × 37,860.28
  4. Step 4: Simplify right side
    71,145.09x = 4,040,941,944.91
  5. Step 5: Solve for x
    x = 4,040,941,944.91/71,145.09
  6. Step 6: Final answer
    x = 56,798.61

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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.