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Finding the Fourth Proportional to 69,615.41, 96,069.33 and 37,784.31

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Solution

The fourth proportional to 69,615.41, 96,069.33 and 37,784.31 is: 52,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.41 : 96,069.33 = 37,784.31 : x
  2. Step 2: Convert to fraction form
    69,615.41/96,069.33 = 37,784.31/x
  3. Step 3: Cross multiply
    69,615.41x = 96,069.33 × 37,784.31
  4. Step 4: Simplify right side
    69,615.41x = 3,629,913,346.21
  5. Step 5: Solve for x
    x = 3,629,913,346.21/69,615.41
  6. Step 6: Final answer
    x = 52,142.39

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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.