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Finding the Fourth Proportional to 61,131.86, 91,724.19 and 33,071.68

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Solution

The fourth proportional to 61,131.86, 91,724.19 and 33,071.68 is: 49,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,131.86 : 91,724.19 = 33,071.68 : x
  2. Step 2: Convert to fraction form
    61,131.86/91,724.19 = 33,071.68/x
  3. Step 3: Cross multiply
    61,131.86x = 91,724.19 × 33,071.68
  4. Step 4: Simplify right side
    61,131.86x = 3,033,473,322.26
  5. Step 5: Solve for x
    x = 3,033,473,322.26/61,131.86
  6. Step 6: Final answer
    x = 49,621.81

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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.