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Finding the Fourth Proportional to 61,496.24, 92,257.32 and 19,940

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Solution

The fourth proportional to 61,496.24, 92,257.32 and 19,940 is: 29,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,496.24 : 92,257.32 = 19,940 : x
  2. Step 2: Convert to fraction form
    61,496.24/92,257.32 = 19,940/x
  3. Step 3: Cross multiply
    61,496.24x = 92,257.32 × 19,940
  4. Step 4: Simplify right side
    61,496.24x = 1,839,610,960.80
  5. Step 5: Solve for x
    x = 1,839,610,960.80/61,496.24
  6. Step 6: Final answer
    x = 29,914.20

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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.