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Finding the Fourth Proportional to 34,250, 47,268.84 and 19,346.96

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Solution

The fourth proportional to 34,250, 47,268.84 and 19,346.96 is: 26,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,250 : 47,268.84 = 19,346.96 : x
  2. Step 2: Convert to fraction form
    34,250/47,268.84 = 19,346.96/x
  3. Step 3: Cross multiply
    34,250x = 47,268.84 × 19,346.96
  4. Step 4: Simplify right side
    34,250x = 914,508,356.73
  5. Step 5: Solve for x
    x = 914,508,356.73/34,250
  6. Step 6: Final answer
    x = 26,700.97

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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.