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Finding the Fourth Proportional to 40,095.72, 60,143.31 and 31,338

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Solution

The fourth proportional to 40,095.72, 60,143.31 and 31,338 is: 47,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,095.72 : 60,143.31 = 31,338 : x
  2. Step 2: Convert to fraction form
    40,095.72/60,143.31 = 31,338/x
  3. Step 3: Cross multiply
    40,095.72x = 60,143.31 × 31,338
  4. Step 4: Simplify right side
    40,095.72x = 1,884,771,048.78
  5. Step 5: Solve for x
    x = 1,884,771,048.78/40,095.72
  6. Step 6: Final answer
    x = 47,006.79

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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.