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Finding the Fourth Proportional to 33,148, 45,744.56 and 18,244.32

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Solution

The fourth proportional to 33,148, 45,744.56 and 18,244.32 is: 25,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148 : 45,744.56 = 18,244.32 : x
  2. Step 2: Convert to fraction form
    33,148/45,744.56 = 18,244.32/x
  3. Step 3: Cross multiply
    33,148x = 45,744.56 × 18,244.32
  4. Step 4: Simplify right side
    33,148x = 834,578,390.90
  5. Step 5: Solve for x
    x = 834,578,390.90/33,148
  6. Step 6: Final answer
    x = 25,177.34

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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.