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Finding the Fourth Proportional to 33,635.42, 46,415.78 and 20,023.42

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Solution

The fourth proportional to 33,635.42, 46,415.78 and 20,023.42 is: 27,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.42 : 46,415.78 = 20,023.42 : x
  2. Step 2: Convert to fraction form
    33,635.42/46,415.78 = 20,023.42/x
  3. Step 3: Cross multiply
    33,635.42x = 46,415.78 × 20,023.42
  4. Step 4: Simplify right side
    33,635.42x = 929,402,657.57
  5. Step 5: Solve for x
    x = 929,402,657.57/33,635.42
  6. Step 6: Final answer
    x = 27,631.66

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1.5x scale

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.