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Finding the Fourth Proportional to 33,046.50, 45,583.38 and 19,608.22

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Solution

The fourth proportional to 33,046.50, 45,583.38 and 19,608.22 is: 27,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.50 : 45,583.38 = 19,608.22 : x
  2. Step 2: Convert to fraction form
    33,046.50/45,583.38 = 19,608.22/x
  3. Step 3: Cross multiply
    33,046.50x = 45,583.38 × 19,608.22
  4. Step 4: Simplify right side
    33,046.50x = 893,808,943.38
  5. Step 5: Solve for x
    x = 893,808,943.38/33,046.50
  6. Step 6: Final answer
    x = 27,047.01

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Why These Related Problems?

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