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Finding the Fourth Proportional to 34,201.74, 47,200.29 and 19,094.54

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Solution

The fourth proportional to 34,201.74, 47,200.29 and 19,094.54 is: 26,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.74 : 47,200.29 = 19,094.54 : x
  2. Step 2: Convert to fraction form
    34,201.74/47,200.29 = 19,094.54/x
  3. Step 3: Cross multiply
    34,201.74x = 47,200.29 × 19,094.54
  4. Step 4: Simplify right side
    34,201.74x = 901,267,517.81
  5. Step 5: Solve for x
    x = 901,267,517.81/34,201.74
  6. Step 6: Final answer
    x = 26,351.51

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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.