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Finding the Fourth Proportional to 58,542.48, 80,774.28 and 34,668

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Solution

The fourth proportional to 58,542.48, 80,774.28 and 34,668 is: 47,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542.48 : 80,774.28 = 34,668 : x
  2. Step 2: Convert to fraction form
    58,542.48/80,774.28 = 34,668/x
  3. Step 3: Cross multiply
    58,542.48x = 80,774.28 × 34,668
  4. Step 4: Simplify right side
    58,542.48x = 2,800,282,739.04
  5. Step 5: Solve for x
    x = 2,800,282,739.04/58,542.48
  6. Step 6: Final answer
    x = 47,833.35

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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.