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Finding the Fourth Proportional to 84,409.74, 126,567.87 and 34,524.87

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Solution

The fourth proportional to 84,409.74, 126,567.87 and 34,524.87 is: 51,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.74 : 126,567.87 = 34,524.87 : x
  2. Step 2: Convert to fraction form
    84,409.74/126,567.87 = 34,524.87/x
  3. Step 3: Cross multiply
    84,409.74x = 126,567.87 × 34,524.87
  4. Step 4: Simplify right side
    84,409.74x = 4,369,739,257.93
  5. Step 5: Solve for x
    x = 4,369,739,257.93/84,409.74
  6. Step 6: Final answer
    x = 51,768.19

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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.