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Finding the Fourth Proportional to 61,722.86, 85,177.67 and 33,428.56

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Solution

The fourth proportional to 61,722.86, 85,177.67 and 33,428.56 is: 46,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722.86 : 85,177.67 = 33,428.56 : x
  2. Step 2: Convert to fraction form
    61,722.86/85,177.67 = 33,428.56/x
  3. Step 3: Cross multiply
    61,722.86x = 85,177.67 × 33,428.56
  4. Step 4: Simplify right side
    61,722.86x = 2,847,366,259.22
  5. Step 5: Solve for x
    x = 2,847,366,259.22/61,722.86
  6. Step 6: Final answer
    x = 46,131.47

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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.