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Finding the Fourth Proportional to 27,101.64, 40,642.34 and 9,327.32

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Solution

The fourth proportional to 27,101.64, 40,642.34 and 9,327.32 is: 13,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.64 : 40,642.34 = 9,327.32 : x
  2. Step 2: Convert to fraction form
    27,101.64/40,642.34 = 9,327.32/x
  3. Step 3: Cross multiply
    27,101.64x = 40,642.34 × 9,327.32
  4. Step 4: Simplify right side
    27,101.64x = 379,084,110.73
  5. Step 5: Solve for x
    x = 379,084,110.73/27,101.64
  6. Step 6: Final answer
    x = 13,987.50

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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.