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Finding the Fourth Proportional to 27,040.43, 40,555.99 and 7,314.40

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Solution

The fourth proportional to 27,040.43, 40,555.99 and 7,314.40 is: 10,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040.43 : 40,555.99 = 7,314.40 : x
  2. Step 2: Convert to fraction form
    27,040.43/40,555.99 = 7,314.40/x
  3. Step 3: Cross multiply
    27,040.43x = 40,555.99 × 7,314.40
  4. Step 4: Simplify right side
    27,040.43x = 296,642,793.09
  5. Step 5: Solve for x
    x = 296,642,793.09/27,040.43
  6. Step 6: Final answer
    x = 10,970.34

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Why These Related Problems?

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