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Finding the Fourth Proportional to 36,963.76, 51,010 and 19,968

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Solution

The fourth proportional to 36,963.76, 51,010 and 19,968 is: 27,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963.76 : 51,010 = 19,968 : x
  2. Step 2: Convert to fraction form
    36,963.76/51,010 = 19,968/x
  3. Step 3: Cross multiply
    36,963.76x = 51,010 × 19,968
  4. Step 4: Simplify right side
    36,963.76x = 1,018,567,680
  5. Step 5: Solve for x
    x = 1,018,567,680/36,963.76
  6. Step 6: Final answer
    x = 27,555.85

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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.