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Finding the Fourth Proportional to 69,816.19, 96,348.74 and 37,986.30

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Solution

The fourth proportional to 69,816.19, 96,348.74 and 37,986.30 is: 52,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,816.19 : 96,348.74 = 37,986.30 : x
  2. Step 2: Convert to fraction form
    69,816.19/96,348.74 = 37,986.30/x
  3. Step 3: Cross multiply
    69,816.19x = 96,348.74 × 37,986.30
  4. Step 4: Simplify right side
    69,816.19x = 3,659,931,755.48
  5. Step 5: Solve for x
    x = 3,659,931,755.48/69,816.19
  6. Step 6: Final answer
    x = 52,422.39

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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.