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Finding the Fourth Proportional to 33,276.30, 49,914.45 and 17,724.30

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Solution

The fourth proportional to 33,276.30, 49,914.45 and 17,724.30 is: 26,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,276.30 : 49,914.45 = 17,724.30 : x
  2. Step 2: Convert to fraction form
    33,276.30/49,914.45 = 17,724.30/x
  3. Step 3: Cross multiply
    33,276.30x = 49,914.45 × 17,724.30
  4. Step 4: Simplify right side
    33,276.30x = 884,698,686.14
  5. Step 5: Solve for x
    x = 884,698,686.14/33,276.30
  6. Step 6: Final answer
    x = 26,586.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.