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Finding the Fourth Proportional to 33,701.76, 46,512.80 and 28,026.80

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Solution

The fourth proportional to 33,701.76, 46,512.80 and 28,026.80 is: 38,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,701.76 : 46,512.80 = 28,026.80 : x
  2. Step 2: Convert to fraction form
    33,701.76/46,512.80 = 28,026.80/x
  3. Step 3: Cross multiply
    33,701.76x = 46,512.80 × 28,026.80
  4. Step 4: Simplify right side
    33,701.76x = 1,303,604,943.04
  5. Step 5: Solve for x
    x = 1,303,604,943.04/33,701.76
  6. Step 6: Final answer
    x = 38,680.62

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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.