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Finding the Fourth Proportional to 70,102.82, 96,743.92 and 38,273.77

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Solution

The fourth proportional to 70,102.82, 96,743.92 and 38,273.77 is: 52,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.82 : 96,743.92 = 38,273.77 : x
  2. Step 2: Convert to fraction form
    70,102.82/96,743.92 = 38,273.77/x
  3. Step 3: Cross multiply
    70,102.82x = 96,743.92 × 38,273.77
  4. Step 4: Simplify right side
    70,102.82x = 3,702,754,059.26
  5. Step 5: Solve for x
    x = 3,702,754,059.26/70,102.82
  6. Step 6: Final answer
    x = 52,818.91

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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.