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Finding the Fourth Proportional to 69,699.89, 96,193.98 and 41,405.58

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Solution

The fourth proportional to 69,699.89, 96,193.98 and 41,405.58 is: 57,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,699.89 : 96,193.98 = 41,405.58 : x
  2. Step 2: Convert to fraction form
    69,699.89/96,193.98 = 41,405.58/x
  3. Step 3: Cross multiply
    69,699.89x = 96,193.98 × 41,405.58
  4. Step 4: Simplify right side
    69,699.89x = 3,982,967,534.41
  5. Step 5: Solve for x
    x = 3,982,967,534.41/69,699.89
  6. Step 6: Final answer
    x = 57,144.53

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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.