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Finding the Fourth Proportional to 70,031.76, 96,645.18 and 38,201.82

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Solution

The fourth proportional to 70,031.76, 96,645.18 and 38,201.82 is: 52,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.76 : 96,645.18 = 38,201.82 : x
  2. Step 2: Convert to fraction form
    70,031.76/96,645.18 = 38,201.82/x
  3. Step 3: Cross multiply
    70,031.76x = 96,645.18 × 38,201.82
  4. Step 4: Simplify right side
    70,031.76x = 3,692,021,770.23
  5. Step 5: Solve for x
    x = 3,692,021,770.23/70,031.76
  6. Step 6: Final answer
    x = 52,719.25

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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.