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Finding the Fourth Proportional to 34,739.71, 52,116.89 and 13,392.97

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Solution

The fourth proportional to 34,739.71, 52,116.89 and 13,392.97 is: 20,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,739.71 : 52,116.89 = 13,392.97 : x
  2. Step 2: Convert to fraction form
    34,739.71/52,116.89 = 13,392.97/x
  3. Step 3: Cross multiply
    34,739.71x = 52,116.89 × 13,392.97
  4. Step 4: Simplify right side
    34,739.71x = 697,999,847.45
  5. Step 5: Solve for x
    x = 697,999,847.45/34,739.71
  6. Step 6: Final answer
    x = 20,092.28

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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.