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Finding the Fourth Proportional to 59,971.42, 82,761.64 and 33,113.32

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Solution

The fourth proportional to 59,971.42, 82,761.64 and 33,113.32 is: 45,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,971.42 : 82,761.64 = 33,113.32 : x
  2. Step 2: Convert to fraction form
    59,971.42/82,761.64 = 33,113.32/x
  3. Step 3: Cross multiply
    59,971.42x = 82,761.64 × 33,113.32
  4. Step 4: Simplify right side
    59,971.42x = 2,740,512,379.36
  5. Step 5: Solve for x
    x = 2,740,512,379.36/59,971.42
  6. Step 6: Final answer
    x = 45,696.97

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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.