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Finding the Fourth Proportional to 34,194, 47,213.64 and 33,070.80

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Solution

The fourth proportional to 34,194, 47,213.64 and 33,070.80 is: 45,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194 : 47,213.64 = 33,070.80 : x
  2. Step 2: Convert to fraction form
    34,194/47,213.64 = 33,070.80/x
  3. Step 3: Cross multiply
    34,194x = 47,213.64 × 33,070.80
  4. Step 4: Simplify right side
    34,194x = 1,561,392,845.71
  5. Step 5: Solve for x
    x = 1,561,392,845.71/34,194
  6. Step 6: Final answer
    x = 45,662.77

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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.