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Finding the Fourth Proportional to 34,214.49, 47,261.33 and 27,525.31

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Solution

The fourth proportional to 34,214.49, 47,261.33 and 27,525.31 is: 38,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.49 : 47,261.33 = 27,525.31 : x
  2. Step 2: Convert to fraction form
    34,214.49/47,261.33 = 27,525.31/x
  3. Step 3: Cross multiply
    34,214.49x = 47,261.33 × 27,525.31
  4. Step 4: Simplify right side
    34,214.49x = 1,300,882,759.26
  5. Step 5: Solve for x
    x = 1,300,882,759.26/34,214.49
  6. Step 6: Final answer
    x = 38,021.40

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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.