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Finding the Fourth Proportional to 34,064.31, 47,014.38 and 19,914.42

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Solution

The fourth proportional to 34,064.31, 47,014.38 and 19,914.42 is: 27,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.31 : 47,014.38 = 19,914.42 : x
  2. Step 2: Convert to fraction form
    34,064.31/47,014.38 = 19,914.42/x
  3. Step 3: Cross multiply
    34,064.31x = 47,014.38 × 19,914.42
  4. Step 4: Simplify right side
    34,064.31x = 936,264,109.36
  5. Step 5: Solve for x
    x = 936,264,109.36/34,064.31
  6. Step 6: Final answer
    x = 27,485.19

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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.