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Finding the Fourth Proportional to 51,905.72, 77,830.89 and 26,883.71

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Solution

The fourth proportional to 51,905.72, 77,830.89 and 26,883.71 is: 40,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905.72 : 77,830.89 = 26,883.71 : x
  2. Step 2: Convert to fraction form
    51,905.72/77,830.89 = 26,883.71/x
  3. Step 3: Cross multiply
    51,905.72x = 77,830.89 × 26,883.71
  4. Step 4: Simplify right side
    51,905.72x = 2,092,382,686.65
  5. Step 5: Solve for x
    x = 2,092,382,686.65/51,905.72
  6. Step 6: Final answer
    x = 40,311.22

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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.