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Finding the Fourth Proportional to 69,813.77, 96,343.22 and 37,982.66

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Solution

The fourth proportional to 69,813.77, 96,343.22 and 37,982.66 is: 52,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,813.77 : 96,343.22 = 37,982.66 : x
  2. Step 2: Convert to fraction form
    69,813.77/96,343.22 = 37,982.66/x
  3. Step 3: Cross multiply
    69,813.77x = 96,343.22 × 37,982.66
  4. Step 4: Simplify right side
    69,813.77x = 3,659,371,381.81
  5. Step 5: Solve for x
    x = 3,659,371,381.81/69,813.77
  6. Step 6: Final answer
    x = 52,416.19

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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.