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Finding the Fourth Proportional to 70,654.97, 105,982.67 and 17,347.16

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Solution

The fourth proportional to 70,654.97, 105,982.67 and 17,347.16 is: 26,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.97 : 105,982.67 = 17,347.16 : x
  2. Step 2: Convert to fraction form
    70,654.97/105,982.67 = 17,347.16/x
  3. Step 3: Cross multiply
    70,654.97x = 105,982.67 × 17,347.16
  4. Step 4: Simplify right side
    70,654.97x = 1,838,498,642.04
  5. Step 5: Solve for x
    x = 1,838,498,642.04/70,654.97
  6. Step 6: Final answer
    x = 26,020.80

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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.