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Finding the Fourth Proportional to 71,153.86, 106,749.22 and 37,846.52

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Solution

The fourth proportional to 71,153.86, 106,749.22 and 37,846.52 is: 56,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.86 : 106,749.22 = 37,846.52 : x
  2. Step 2: Convert to fraction form
    71,153.86/106,749.22 = 37,846.52/x
  3. Step 3: Cross multiply
    71,153.86x = 106,749.22 × 37,846.52
  4. Step 4: Simplify right side
    71,153.86x = 4,040,086,489.71
  5. Step 5: Solve for x
    x = 4,040,086,489.71/71,153.86
  6. Step 6: Final answer
    x = 56,779.58

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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.