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Finding the Fourth Proportional to 27,142.29, 37,455.83 and 15,042.53

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Solution

The fourth proportional to 27,142.29, 37,455.83 and 15,042.53 is: 20,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.29 : 37,455.83 = 15,042.53 : x
  2. Step 2: Convert to fraction form
    27,142.29/37,455.83 = 15,042.53/x
  3. Step 3: Cross multiply
    27,142.29x = 37,455.83 × 15,042.53
  4. Step 4: Simplify right side
    27,142.29x = 563,430,183.96
  5. Step 5: Solve for x
    x = 563,430,183.96/27,142.29
  6. Step 6: Final answer
    x = 20,758.39

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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.