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Finding the Fourth Proportional to 51,583.86, 77,404.41 and 27,890.82

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Solution

The fourth proportional to 51,583.86, 77,404.41 and 27,890.82 is: 41,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.86 : 77,404.41 = 27,890.82 : x
  2. Step 2: Convert to fraction form
    51,583.86/77,404.41 = 27,890.82/x
  3. Step 3: Cross multiply
    51,583.86x = 77,404.41 × 27,890.82
  4. Step 4: Simplify right side
    51,583.86x = 2,158,872,466.52
  5. Step 5: Solve for x
    x = 2,158,872,466.52/51,583.86
  6. Step 6: Final answer
    x = 41,851.70

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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.