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Finding the Fourth Proportional to 34,495.80, 47,581.74 and 28,198.20

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Solution

The fourth proportional to 34,495.80, 47,581.74 and 28,198.20 is: 38,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.80 : 47,581.74 = 28,198.20 : x
  2. Step 2: Convert to fraction form
    34,495.80/47,581.74 = 28,198.20/x
  3. Step 3: Cross multiply
    34,495.80x = 47,581.74 × 28,198.20
  4. Step 4: Simplify right side
    34,495.80x = 1,341,719,420.87
  5. Step 5: Solve for x
    x = 1,341,719,420.87/34,495.80
  6. Step 6: Final answer
    x = 38,895.15

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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.