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Finding the Fourth Proportional to 53,911.62, 80,838.23 and 24,294.78

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Solution

The fourth proportional to 53,911.62, 80,838.23 and 24,294.78 is: 36,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911.62 : 80,838.23 = 24,294.78 : x
  2. Step 2: Convert to fraction form
    53,911.62/80,838.23 = 24,294.78/x
  3. Step 3: Cross multiply
    53,911.62x = 80,838.23 × 24,294.78
  4. Step 4: Simplify right side
    53,911.62x = 1,963,946,891.97
  5. Step 5: Solve for x
    x = 1,963,946,891.97/53,911.62
  6. Step 6: Final answer
    x = 36,429.01

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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.