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Finding the Fourth Proportional to 34,871.31, 52,304 and 13,805.63

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Solution

The fourth proportional to 34,871.31, 52,304 and 13,805.63 is: 20,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,871.31 : 52,304 = 13,805.63 : x
  2. Step 2: Convert to fraction form
    34,871.31/52,304 = 13,805.63/x
  3. Step 3: Cross multiply
    34,871.31x = 52,304 × 13,805.63
  4. Step 4: Simplify right side
    34,871.31x = 722,089,671.52
  5. Step 5: Solve for x
    x = 722,089,671.52/34,871.31
  6. Step 6: Final answer
    x = 20,707.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.