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Finding the Fourth Proportional to 55,092.69, 82,637.01 and 15,649.65

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Solution

The fourth proportional to 55,092.69, 82,637.01 and 15,649.65 is: 23,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,092.69 : 82,637.01 = 15,649.65 : x
  2. Step 2: Convert to fraction form
    55,092.69/82,637.01 = 15,649.65/x
  3. Step 3: Cross multiply
    55,092.69x = 82,637.01 × 15,649.65
  4. Step 4: Simplify right side
    55,092.69x = 1,293,240,283.55
  5. Step 5: Solve for x
    x = 1,293,240,283.55/55,092.69
  6. Step 6: Final answer
    x = 23,473.90

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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.