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Finding the Fourth Proportional to 58,198, 80,309.44 and 34,319.20

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Solution

The fourth proportional to 58,198, 80,309.44 and 34,319.20 is: 47,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,198 : 80,309.44 = 34,319.20 : x
  2. Step 2: Convert to fraction form
    58,198/80,309.44 = 34,319.20/x
  3. Step 3: Cross multiply
    58,198x = 80,309.44 × 34,319.20
  4. Step 4: Simplify right side
    58,198x = 2,756,155,733.25
  5. Step 5: Solve for x
    x = 2,756,155,733.25/58,198
  6. Step 6: Final answer
    x = 47,358.26

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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.