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Finding the Fourth Proportional to 69,615.40, 96,069.34 and 37,784.30

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Solution

The fourth proportional to 69,615.40, 96,069.34 and 37,784.30 is: 52,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.40 : 96,069.34 = 37,784.30 : x
  2. Step 2: Convert to fraction form
    69,615.40/96,069.34 = 37,784.30/x
  3. Step 3: Cross multiply
    69,615.40x = 96,069.34 × 37,784.30
  4. Step 4: Simplify right side
    69,615.40x = 3,629,912,763.36
  5. Step 5: Solve for x
    x = 3,629,912,763.36/69,615.40
  6. Step 6: Final answer
    x = 52,142.38

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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.