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Finding the Fourth Proportional to 70,584, 105,872.96 and 17,991.92

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Solution

The fourth proportional to 70,584, 105,872.96 and 17,991.92 is: 26,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584 : 105,872.96 = 17,991.92 : x
  2. Step 2: Convert to fraction form
    70,584/105,872.96 = 17,991.92/x
  3. Step 3: Cross multiply
    70,584x = 105,872.96 × 17,991.92
  4. Step 4: Simplify right side
    70,584x = 1,904,857,342.10
  5. Step 5: Solve for x
    x = 1,904,857,342.10/70,584
  6. Step 6: Final answer
    x = 26,987.10

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