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Finding the Fourth Proportional to 27,327.40, 37,698.46 and 23,544

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Solution

The fourth proportional to 27,327.40, 37,698.46 and 23,544 is: 32,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,327.40 : 37,698.46 = 23,544 : x
  2. Step 2: Convert to fraction form
    27,327.40/37,698.46 = 23,544/x
  3. Step 3: Cross multiply
    27,327.40x = 37,698.46 × 23,544
  4. Step 4: Simplify right side
    27,327.40x = 887,572,542.24
  5. Step 5: Solve for x
    x = 887,572,542.24/27,327.40
  6. Step 6: Final answer
    x = 32,479.22

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