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Finding the Fourth Proportional to 34,291.76, 51,353.76 and 30,967.52

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Solution

The fourth proportional to 34,291.76, 51,353.76 and 30,967.52 is: 46,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.76 : 51,353.76 = 30,967.52 : x
  2. Step 2: Convert to fraction form
    34,291.76/51,353.76 = 30,967.52/x
  3. Step 3: Cross multiply
    34,291.76x = 51,353.76 × 30,967.52
  4. Step 4: Simplify right side
    34,291.76x = 1,590,298,589.88
  5. Step 5: Solve for x
    x = 1,590,298,589.88/34,291.76
  6. Step 6: Final answer
    x = 46,375.53

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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.