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Finding the Fourth Proportional to 40,119.72, 60,179.31 and 31,362

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Solution

The fourth proportional to 40,119.72, 60,179.31 and 31,362 is: 47,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,119.72 : 60,179.31 = 31,362 : x
  2. Step 2: Convert to fraction form
    40,119.72/60,179.31 = 31,362/x
  3. Step 3: Cross multiply
    40,119.72x = 60,179.31 × 31,362
  4. Step 4: Simplify right side
    40,119.72x = 1,887,343,520.22
  5. Step 5: Solve for x
    x = 1,887,343,520.22/40,119.72
  6. Step 6: Final answer
    x = 47,042.79

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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.