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Finding the Fourth Proportional to 69,615.67, 96,069.71 and 37,784.57

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Solution

The fourth proportional to 69,615.67, 96,069.71 and 37,784.57 is: 52,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.67 : 96,069.71 = 37,784.57 : x
  2. Step 2: Convert to fraction form
    69,615.67/96,069.71 = 37,784.57/x
  3. Step 3: Cross multiply
    69,615.67x = 96,069.71 × 37,784.57
  4. Step 4: Simplify right side
    69,615.67x = 3,629,952,536.66
  5. Step 5: Solve for x
    x = 3,629,952,536.66/69,615.67
  6. Step 6: Final answer
    x = 52,142.75

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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.