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Finding the Fourth Proportional to 61,569.88, 92,369.07 and 19,454.14

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Solution

The fourth proportional to 61,569.88, 92,369.07 and 19,454.14 is: 29,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,569.88 : 92,369.07 = 19,454.14 : x
  2. Step 2: Convert to fraction form
    61,569.88/92,369.07 = 19,454.14/x
  3. Step 3: Cross multiply
    61,569.88x = 92,369.07 × 19,454.14
  4. Step 4: Simplify right side
    61,569.88x = 1,796,960,819.45
  5. Step 5: Solve for x
    x = 1,796,960,819.45/61,569.88
  6. Step 6: Final answer
    x = 29,185.71

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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.