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Finding the Fourth Proportional to 70,031.22, 96,645.36 and 38,201.46

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Solution

The fourth proportional to 70,031.22, 96,645.36 and 38,201.46 is: 52,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.22 : 96,645.36 = 38,201.46 : x
  2. Step 2: Convert to fraction form
    70,031.22/96,645.36 = 38,201.46/x
  3. Step 3: Cross multiply
    70,031.22x = 96,645.36 × 38,201.46
  4. Step 4: Simplify right side
    70,031.22x = 3,691,993,854.23
  5. Step 5: Solve for x
    x = 3,691,993,854.23/70,031.22
  6. Step 6: Final answer
    x = 52,719.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.