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Finding the Fourth Proportional to 27,470.88, 41,159.24 and 18,448.08

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Solution

The fourth proportional to 27,470.88, 41,159.24 and 18,448.08 is: 27,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.88 : 41,159.24 = 18,448.08 : x
  2. Step 2: Convert to fraction form
    27,470.88/41,159.24 = 18,448.08/x
  3. Step 3: Cross multiply
    27,470.88x = 41,159.24 × 18,448.08
  4. Step 4: Simplify right side
    27,470.88x = 759,308,952.26
  5. Step 5: Solve for x
    x = 759,308,952.26/27,470.88
  6. Step 6: Final answer
    x = 27,640.50

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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.