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Finding the Fourth Proportional to 71,057.52, 98,048.61 and 47,219.22

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Solution

The fourth proportional to 71,057.52, 98,048.61 and 47,219.22 is: 65,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.52 : 98,048.61 = 47,219.22 : x
  2. Step 2: Convert to fraction form
    71,057.52/98,048.61 = 47,219.22/x
  3. Step 3: Cross multiply
    71,057.52x = 98,048.61 × 47,219.22
  4. Step 4: Simplify right side
    71,057.52x = 4,629,778,886.28
  5. Step 5: Solve for x
    x = 4,629,778,886.28/71,057.52
  6. Step 6: Final answer
    x = 65,155.37

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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.