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Finding the Fourth Proportional to 40,100.72, 60,150.81 and 31,343

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Solution

The fourth proportional to 40,100.72, 60,150.81 and 31,343 is: 47,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100.72 : 60,150.81 = 31,343 : x
  2. Step 2: Convert to fraction form
    40,100.72/60,150.81 = 31,343/x
  3. Step 3: Cross multiply
    40,100.72x = 60,150.81 × 31,343
  4. Step 4: Simplify right side
    40,100.72x = 1,885,306,837.83
  5. Step 5: Solve for x
    x = 1,885,306,837.83/40,100.72
  6. Step 6: Final answer
    x = 47,014.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.