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Finding the Fourth Proportional to 27,798.68, 41,700.58 and 9,078.81

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Solution

The fourth proportional to 27,798.68, 41,700.58 and 9,078.81 is: 13,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.68 : 41,700.58 = 9,078.81 : x
  2. Step 2: Convert to fraction form
    27,798.68/41,700.58 = 9,078.81/x
  3. Step 3: Cross multiply
    27,798.68x = 41,700.58 × 9,078.81
  4. Step 4: Simplify right side
    27,798.68x = 378,591,810.44
  5. Step 5: Solve for x
    x = 378,591,810.44/27,798.68
  6. Step 6: Final answer
    x = 13,619.06

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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.