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Finding the Fourth Proportional to 27,057.81, 40,590.53 and 8,339.37

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Solution

The fourth proportional to 27,057.81, 40,590.53 and 8,339.37 is: 12,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.81 : 40,590.53 = 8,339.37 : x
  2. Step 2: Convert to fraction form
    27,057.81/40,590.53 = 8,339.37/x
  3. Step 3: Cross multiply
    27,057.81x = 40,590.53 × 8,339.37
  4. Step 4: Simplify right side
    27,057.81x = 338,499,448.17
  5. Step 5: Solve for x
    x = 338,499,448.17/27,057.81
  6. Step 6: Final answer
    x = 12,510.23

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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.