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Finding the Fourth Proportional to 34,697.20, 47,841.60 and 32,828.80

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Solution

The fourth proportional to 34,697.20, 47,841.60 and 32,828.80 is: 45,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.20 : 47,841.60 = 32,828.80 : x
  2. Step 2: Convert to fraction form
    34,697.20/47,841.60 = 32,828.80/x
  3. Step 3: Cross multiply
    34,697.20x = 47,841.60 × 32,828.80
  4. Step 4: Simplify right side
    34,697.20x = 1,570,582,318.08
  5. Step 5: Solve for x
    x = 1,570,582,318.08/34,697.20
  6. Step 6: Final answer
    x = 45,265.39

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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.