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Finding the Fourth Proportional to 46,543.69, 69,792.46 and 16,553.43

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Solution

The fourth proportional to 46,543.69, 69,792.46 and 16,553.43 is: 24,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,543.69 : 69,792.46 = 16,553.43 : x
  2. Step 2: Convert to fraction form
    46,543.69/69,792.46 = 16,553.43/x
  3. Step 3: Cross multiply
    46,543.69x = 69,792.46 × 16,553.43
  4. Step 4: Simplify right side
    46,543.69x = 1,155,304,601.14
  5. Step 5: Solve for x
    x = 1,155,304,601.14/46,543.69
  6. Step 6: Final answer
    x = 24,821.94

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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.