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Finding the Fourth Proportional to 61,241.84, 91,839.14 and 23,797

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Solution

The fourth proportional to 61,241.84, 91,839.14 and 23,797 is: 35,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,241.84 : 91,839.14 = 23,797 : x
  2. Step 2: Convert to fraction form
    61,241.84/91,839.14 = 23,797/x
  3. Step 3: Cross multiply
    61,241.84x = 91,839.14 × 23,797
  4. Step 4: Simplify right side
    61,241.84x = 2,185,496,014.58
  5. Step 5: Solve for x
    x = 2,185,496,014.58/61,241.84
  6. Step 6: Final answer
    x = 35,686.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.