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Finding the Fourth Proportional to 27,710.80, 38,191.47 and 20,980.31

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Solution

The fourth proportional to 27,710.80, 38,191.47 and 20,980.31 is: 28,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.80 : 38,191.47 = 20,980.31 : x
  2. Step 2: Convert to fraction form
    27,710.80/38,191.47 = 20,980.31/x
  3. Step 3: Cross multiply
    27,710.80x = 38,191.47 × 20,980.31
  4. Step 4: Simplify right side
    27,710.80x = 801,268,879.96
  5. Step 5: Solve for x
    x = 801,268,879.96/27,710.80
  6. Step 6: Final answer
    x = 28,915.40

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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.