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Finding the Fourth Proportional to 61,833.85, 92,765.32 and 49,231.26

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Solution

The fourth proportional to 61,833.85, 92,765.32 and 49,231.26 is: 73,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833.85 : 92,765.32 = 49,231.26 : x
  2. Step 2: Convert to fraction form
    61,833.85/92,765.32 = 49,231.26/x
  3. Step 3: Cross multiply
    61,833.85x = 92,765.32 × 49,231.26
  4. Step 4: Simplify right side
    61,833.85x = 4,566,953,464.83
  5. Step 5: Solve for x
    x = 4,566,953,464.83/61,833.85
  6. Step 6: Final answer
    x = 73,858.47

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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.