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Finding the Fourth Proportional to 34,216.49, 47,264.09 and 27,527.31

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Solution

The fourth proportional to 34,216.49, 47,264.09 and 27,527.31 is: 38,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.49 : 47,264.09 = 27,527.31 : x
  2. Step 2: Convert to fraction form
    34,216.49/47,264.09 = 27,527.31/x
  3. Step 3: Cross multiply
    34,216.49x = 47,264.09 × 27,527.31
  4. Step 4: Simplify right side
    34,216.49x = 1,301,053,257.30
  5. Step 5: Solve for x
    x = 1,301,053,257.30/34,216.49
  6. Step 6: Final answer
    x = 38,024.16

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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.