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Finding the Fourth Proportional to 35,052.97, 48,378.65 and 22,292.85

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Solution

The fourth proportional to 35,052.97, 48,378.65 and 22,292.85 is: 30,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,052.97 : 48,378.65 = 22,292.85 : x
  2. Step 2: Convert to fraction form
    35,052.97/48,378.65 = 22,292.85/x
  3. Step 3: Cross multiply
    35,052.97x = 48,378.65 × 22,292.85
  4. Step 4: Simplify right side
    35,052.97x = 1,078,498,043.38
  5. Step 5: Solve for x
    x = 1,078,498,043.38/35,052.97
  6. Step 6: Final answer
    x = 30,767.67

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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.