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Finding the Fourth Proportional to 27,876.45, 41,746.50 and 25,177.71

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Solution

The fourth proportional to 27,876.45, 41,746.50 and 25,177.71 is: 37,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.45 : 41,746.50 = 25,177.71 : x
  2. Step 2: Convert to fraction form
    27,876.45/41,746.50 = 25,177.71/x
  3. Step 3: Cross multiply
    27,876.45x = 41,746.50 × 25,177.71
  4. Step 4: Simplify right side
    27,876.45x = 1,051,081,270.52
  5. Step 5: Solve for x
    x = 1,051,081,270.52/27,876.45
  6. Step 6: Final answer
    x = 37,704.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.