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Finding the Fourth Proportional to 33,981.84, 46,894.68 and 19,077.84

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Solution

The fourth proportional to 33,981.84, 46,894.68 and 19,077.84 is: 26,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.84 : 46,894.68 = 19,077.84 : x
  2. Step 2: Convert to fraction form
    33,981.84/46,894.68 = 19,077.84/x
  3. Step 3: Cross multiply
    33,981.84x = 46,894.68 × 19,077.84
  4. Step 4: Simplify right side
    33,981.84x = 894,649,201.89
  5. Step 5: Solve for x
    x = 894,649,201.89/33,981.84
  6. Step 6: Final answer
    x = 26,327.27

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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.