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Finding the Fourth Proportional to 33,131.76, 45,705.72 and 19,693.50

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Solution

The fourth proportional to 33,131.76, 45,705.72 and 19,693.50 is: 27,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.76 : 45,705.72 = 19,693.50 : x
  2. Step 2: Convert to fraction form
    33,131.76/45,705.72 = 19,693.50/x
  3. Step 3: Cross multiply
    33,131.76x = 45,705.72 × 19,693.50
  4. Step 4: Simplify right side
    33,131.76x = 900,105,596.82
  5. Step 5: Solve for x
    x = 900,105,596.82/33,131.76
  6. Step 6: Final answer
    x = 27,167.45

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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.