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Finding the Fourth Proportional to 33,535.74, 46,276.12 and 20,104.50

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Solution

The fourth proportional to 33,535.74, 46,276.12 and 20,104.50 is: 27,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535.74 : 46,276.12 = 20,104.50 : x
  2. Step 2: Convert to fraction form
    33,535.74/46,276.12 = 20,104.50/x
  3. Step 3: Cross multiply
    33,535.74x = 46,276.12 × 20,104.50
  4. Step 4: Simplify right side
    33,535.74x = 930,358,254.54
  5. Step 5: Solve for x
    x = 930,358,254.54/33,535.74
  6. Step 6: Final answer
    x = 27,742.29

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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.