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Finding the Fourth Proportional to 71,048.38, 98,046.28 and 38,782.86

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Solution

The fourth proportional to 71,048.38, 98,046.28 and 38,782.86 is: 53,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048.38 : 98,046.28 = 38,782.86 : x
  2. Step 2: Convert to fraction form
    71,048.38/98,046.28 = 38,782.86/x
  3. Step 3: Cross multiply
    71,048.38x = 98,046.28 × 38,782.86
  4. Step 4: Simplify right side
    71,048.38x = 3,802,515,150.76
  5. Step 5: Solve for x
    x = 3,802,515,150.76/71,048.38
  6. Step 6: Final answer
    x = 53,520.08

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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.