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Finding the Fourth Proportional to 34,993, 48,292.26 and 20,089.96

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Solution

The fourth proportional to 34,993, 48,292.26 and 20,089.96 is: 27,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,993 : 48,292.26 = 20,089.96 : x
  2. Step 2: Convert to fraction form
    34,993/48,292.26 = 20,089.96/x
  3. Step 3: Cross multiply
    34,993x = 48,292.26 × 20,089.96
  4. Step 4: Simplify right side
    34,993x = 970,189,571.71
  5. Step 5: Solve for x
    x = 970,189,571.71/34,993
  6. Step 6: Final answer
    x = 27,725.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.