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Finding the Fourth Proportional to 27,830.94, 38,412.48 and 25,589.24

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Solution

The fourth proportional to 27,830.94, 38,412.48 and 25,589.24 is: 35,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.94 : 38,412.48 = 25,589.24 : x
  2. Step 2: Convert to fraction form
    27,830.94/38,412.48 = 25,589.24/x
  3. Step 3: Cross multiply
    27,830.94x = 38,412.48 × 25,589.24
  4. Step 4: Simplify right side
    27,830.94x = 982,946,169.72
  5. Step 5: Solve for x
    x = 982,946,169.72/27,830.94
  6. Step 6: Final answer
    x = 35,318.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.