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Finding the Fourth Proportional to 57,743.80, 86,615.70 and 28,219.30

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Solution

The fourth proportional to 57,743.80, 86,615.70 and 28,219.30 is: 42,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,743.80 : 86,615.70 = 28,219.30 : x
  2. Step 2: Convert to fraction form
    57,743.80/86,615.70 = 28,219.30/x
  3. Step 3: Cross multiply
    57,743.80x = 86,615.70 × 28,219.30
  4. Step 4: Simplify right side
    57,743.80x = 2,444,234,423.01
  5. Step 5: Solve for x
    x = 2,444,234,423.01/57,743.80
  6. Step 6: Final answer
    x = 42,328.95

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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.