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Finding the Fourth Proportional to 69,708.81, 96,198.74 and 37,877.71

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Solution

The fourth proportional to 69,708.81, 96,198.74 and 37,877.71 is: 52,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708.81 : 96,198.74 = 37,877.71 : x
  2. Step 2: Convert to fraction form
    69,708.81/96,198.74 = 37,877.71/x
  3. Step 3: Cross multiply
    69,708.81x = 96,198.74 × 37,877.71
  4. Step 4: Simplify right side
    69,708.81x = 3,643,788,262.05
  5. Step 5: Solve for x
    x = 3,643,788,262.05/69,708.81
  6. Step 6: Final answer
    x = 52,271.56

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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.