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Finding the Fourth Proportional to 27,543.88, 41,499.62 and 24,914.44

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Solution

The fourth proportional to 27,543.88, 41,499.62 and 24,914.44 is: 37,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.88 : 41,499.62 = 24,914.44 : x
  2. Step 2: Convert to fraction form
    27,543.88/41,499.62 = 24,914.44/x
  3. Step 3: Cross multiply
    27,543.88x = 41,499.62 × 24,914.44
  4. Step 4: Simplify right side
    27,543.88x = 1,033,939,792.51
  5. Step 5: Solve for x
    x = 1,033,939,792.51/27,543.88
  6. Step 6: Final answer
    x = 37,537.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.