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Finding the Fourth Proportional to 70,168.28, 96,799.74 and 40,343

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Solution

The fourth proportional to 70,168.28, 96,799.74 and 40,343 is: 55,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,168.28 : 96,799.74 = 40,343 : x
  2. Step 2: Convert to fraction form
    70,168.28/96,799.74 = 40,343/x
  3. Step 3: Cross multiply
    70,168.28x = 96,799.74 × 40,343
  4. Step 4: Simplify right side
    70,168.28x = 3,905,191,910.82
  5. Step 5: Solve for x
    x = 3,905,191,910.82/70,168.28
  6. Step 6: Final answer
    x = 55,654.66

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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.