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Finding the Fourth Proportional to 27,564.90, 38,023.51 and 20,002.44

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Solution

The fourth proportional to 27,564.90, 38,023.51 and 20,002.44 is: 27,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.90 : 38,023.51 = 20,002.44 : x
  2. Step 2: Convert to fraction form
    27,564.90/38,023.51 = 20,002.44/x
  3. Step 3: Cross multiply
    27,564.90x = 38,023.51 × 20,002.44
  4. Step 4: Simplify right side
    27,564.90x = 760,562,877.35
  5. Step 5: Solve for x
    x = 760,562,877.35/27,564.90
  6. Step 6: Final answer
    x = 27,591.72

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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.