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Finding the Fourth Proportional to 69,708.94, 96,198.63 and 37,877.96

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Solution

The fourth proportional to 69,708.94, 96,198.63 and 37,877.96 is: 52,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708.94 : 96,198.63 = 37,877.96 : x
  2. Step 2: Convert to fraction form
    69,708.94/96,198.63 = 37,877.96/x
  3. Step 3: Cross multiply
    69,708.94x = 96,198.63 × 37,877.96
  4. Step 4: Simplify right side
    69,708.94x = 3,643,807,859.19
  5. Step 5: Solve for x
    x = 3,643,807,859.19/69,708.94
  6. Step 6: Final answer
    x = 52,271.74

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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.