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Finding the Fourth Proportional to 33,052, 45,650.64 and 22,423.20

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Solution

The fourth proportional to 33,052, 45,650.64 and 22,423.20 is: 30,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052 : 45,650.64 = 22,423.20 : x
  2. Step 2: Convert to fraction form
    33,052/45,650.64 = 22,423.20/x
  3. Step 3: Cross multiply
    33,052x = 45,650.64 × 22,423.20
  4. Step 4: Simplify right side
    33,052x = 1,023,633,430.85
  5. Step 5: Solve for x
    x = 1,023,633,430.85/33,052
  6. Step 6: Final answer
    x = 30,970.39

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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.