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Finding the Fourth Proportional to 34,287.76, 51,347.76 and 30,963.52

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Solution

The fourth proportional to 34,287.76, 51,347.76 and 30,963.52 is: 46,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.76 : 51,347.76 = 30,963.52 : x
  2. Step 2: Convert to fraction form
    34,287.76/51,347.76 = 30,963.52/x
  3. Step 3: Cross multiply
    34,287.76x = 51,347.76 × 30,963.52
  4. Step 4: Simplify right side
    34,287.76x = 1,589,907,393.72
  5. Step 5: Solve for x
    x = 1,589,907,393.72/34,287.76
  6. Step 6: Final answer
    x = 46,369.53

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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.