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Finding the Fourth Proportional to 56,980.89, 85,254.42 and 34,408.47

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Solution

The fourth proportional to 56,980.89, 85,254.42 and 34,408.47 is: 51,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,980.89 : 85,254.42 = 34,408.47 : x
  2. Step 2: Convert to fraction form
    56,980.89/85,254.42 = 34,408.47/x
  3. Step 3: Cross multiply
    56,980.89x = 85,254.42 × 34,408.47
  4. Step 4: Simplify right side
    56,980.89x = 2,933,474,152.94
  5. Step 5: Solve for x
    x = 2,933,474,152.94/56,980.89
  6. Step 6: Final answer
    x = 51,481.72

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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.