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Finding the Fourth Proportional to 34,092.80, 47,055 and 19,949.12

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Solution

The fourth proportional to 34,092.80, 47,055 and 19,949.12 is: 27,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092.80 : 47,055 = 19,949.12 : x
  2. Step 2: Convert to fraction form
    34,092.80/47,055 = 19,949.12/x
  3. Step 3: Cross multiply
    34,092.80x = 47,055 × 19,949.12
  4. Step 4: Simplify right side
    34,092.80x = 938,705,841.60
  5. Step 5: Solve for x
    x = 938,705,841.60/34,092.80
  6. Step 6: Final answer
    x = 27,533.84

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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.