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Finding the Fourth Proportional to 57,310, 86,014.16 and 32,374.56

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Solution

The fourth proportional to 57,310, 86,014.16 and 32,374.56 is: 48,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,310 : 86,014.16 = 32,374.56 : x
  2. Step 2: Convert to fraction form
    57,310/86,014.16 = 32,374.56/x
  3. Step 3: Cross multiply
    57,310x = 86,014.16 × 32,374.56
  4. Step 4: Simplify right side
    57,310x = 2,784,670,583.77
  5. Step 5: Solve for x
    x = 2,784,670,583.77/57,310
  6. Step 6: Final answer
    x = 48,589.61

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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.