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Finding the Fourth Proportional to 61,493.16, 92,241.18 and 22,049.40

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Solution

The fourth proportional to 61,493.16, 92,241.18 and 22,049.40 is: 33,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,493.16 : 92,241.18 = 22,049.40 : x
  2. Step 2: Convert to fraction form
    61,493.16/92,241.18 = 22,049.40/x
  3. Step 3: Cross multiply
    61,493.16x = 92,241.18 × 22,049.40
  4. Step 4: Simplify right side
    61,493.16x = 2,033,862,674.29
  5. Step 5: Solve for x
    x = 2,033,862,674.29/61,493.16
  6. Step 6: Final answer
    x = 33,074.62

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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.