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Finding the Fourth Proportional to 70,506.91, 105,713.04 and 27,773.26

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Solution

The fourth proportional to 70,506.91, 105,713.04 and 27,773.26 is: 41,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.91 : 105,713.04 = 27,773.26 : x
  2. Step 2: Convert to fraction form
    70,506.91/105,713.04 = 27,773.26/x
  3. Step 3: Cross multiply
    70,506.91x = 105,713.04 × 27,773.26
  4. Step 4: Simplify right side
    70,506.91x = 2,935,995,745.31
  5. Step 5: Solve for x
    x = 2,935,995,745.31/70,506.91
  6. Step 6: Final answer
    x = 41,641.25

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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.