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Finding the Fourth Proportional to 51,814.92, 77,648.22 and 22,224.84

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Solution

The fourth proportional to 51,814.92, 77,648.22 and 22,224.84 is: 33,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.92 : 77,648.22 = 22,224.84 : x
  2. Step 2: Convert to fraction form
    51,814.92/77,648.22 = 22,224.84/x
  3. Step 3: Cross multiply
    51,814.92x = 77,648.22 × 22,224.84
  4. Step 4: Simplify right side
    51,814.92x = 1,725,719,265.78
  5. Step 5: Solve for x
    x = 1,725,719,265.78/51,814.92
  6. Step 6: Final answer
    x = 33,305.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.