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Finding the Fourth Proportional to 70,583.64, 105,872.04 and 26,219.04

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Solution

The fourth proportional to 70,583.64, 105,872.04 and 26,219.04 is: 39,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583.64 : 105,872.04 = 26,219.04 : x
  2. Step 2: Convert to fraction form
    70,583.64/105,872.04 = 26,219.04/x
  3. Step 3: Cross multiply
    70,583.64x = 105,872.04 × 26,219.04
  4. Step 4: Simplify right side
    70,583.64x = 2,775,863,251.64
  5. Step 5: Solve for x
    x = 2,775,863,251.64/70,583.64
  6. Step 6: Final answer
    x = 39,327.29

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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.