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Finding the Fourth Proportional to 41,987.48, 57,954.62 and 27,657.77

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Solution

The fourth proportional to 41,987.48, 57,954.62 and 27,657.77 is: 38,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987.48 : 57,954.62 = 27,657.77 : x
  2. Step 2: Convert to fraction form
    41,987.48/57,954.62 = 27,657.77/x
  3. Step 3: Cross multiply
    41,987.48x = 57,954.62 × 27,657.77
  4. Step 4: Simplify right side
    41,987.48x = 1,602,895,329.77
  5. Step 5: Solve for x
    x = 1,602,895,329.77/41,987.48
  6. Step 6: Final answer
    x = 38,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.