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Finding the Fourth Proportional to 69,986.22, 96,582.24 and 38,156.46

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Solution

The fourth proportional to 69,986.22, 96,582.24 and 38,156.46 is: 52,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,986.22 : 96,582.24 = 38,156.46 : x
  2. Step 2: Convert to fraction form
    69,986.22/96,582.24 = 38,156.46/x
  3. Step 3: Cross multiply
    69,986.22x = 96,582.24 × 38,156.46
  4. Step 4: Simplify right side
    69,986.22x = 3,685,236,377.27
  5. Step 5: Solve for x
    x = 3,685,236,377.27/69,986.22
  6. Step 6: Final answer
    x = 52,656.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.