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Finding the Fourth Proportional to 33,024.92, 45,549 and 22,265.84

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Solution

The fourth proportional to 33,024.92, 45,549 and 22,265.84 is: 30,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024.92 : 45,549 = 22,265.84 : x
  2. Step 2: Convert to fraction form
    33,024.92/45,549 = 22,265.84/x
  3. Step 3: Cross multiply
    33,024.92x = 45,549 × 22,265.84
  4. Step 4: Simplify right side
    33,024.92x = 1,014,186,746.16
  5. Step 5: Solve for x
    x = 1,014,186,746.16/33,024.92
  6. Step 6: Final answer
    x = 30,709.74

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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.