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Finding the Fourth Proportional to 27,835.56, 38,392.74 and 20,284.20

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Solution

The fourth proportional to 27,835.56, 38,392.74 and 20,284.20 is: 27,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.56 : 38,392.74 = 20,284.20 : x
  2. Step 2: Convert to fraction form
    27,835.56/38,392.74 = 20,284.20/x
  3. Step 3: Cross multiply
    27,835.56x = 38,392.74 × 20,284.20
  4. Step 4: Simplify right side
    27,835.56x = 778,766,016.71
  5. Step 5: Solve for x
    x = 778,766,016.71/27,835.56
  6. Step 6: Final answer
    x = 27,977.38

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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.