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Finding the Fourth Proportional to 33,180, 45,788.40 and 18,276

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Solution

The fourth proportional to 33,180, 45,788.40 and 18,276 is: 25,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180 : 45,788.40 = 18,276 : x
  2. Step 2: Convert to fraction form
    33,180/45,788.40 = 18,276/x
  3. Step 3: Cross multiply
    33,180x = 45,788.40 × 18,276
  4. Step 4: Simplify right side
    33,180x = 836,828,798.40
  5. Step 5: Solve for x
    x = 836,828,798.40/33,180
  6. Step 6: Final answer
    x = 25,220.88

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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.