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Finding the Fourth Proportional to 51,730.09, 77,601.21 and 18,454.89

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Solution

The fourth proportional to 51,730.09, 77,601.21 and 18,454.89 is: 27,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,730.09 : 77,601.21 = 18,454.89 : x
  2. Step 2: Convert to fraction form
    51,730.09/77,601.21 = 18,454.89/x
  3. Step 3: Cross multiply
    51,730.09x = 77,601.21 × 18,454.89
  4. Step 4: Simplify right side
    51,730.09x = 1,432,121,735.42
  5. Step 5: Solve for x
    x = 1,432,121,735.42/51,730.09
  6. Step 6: Final answer
    x = 27,684.50

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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.