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Finding the Fourth Proportional to 101,874.45, 152,826.27 and 31,759.23

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Solution

The fourth proportional to 101,874.45, 152,826.27 and 31,759.23 is: 47,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874.45 : 152,826.27 = 31,759.23 : x
  2. Step 2: Convert to fraction form
    101,874.45/152,826.27 = 31,759.23/x
  3. Step 3: Cross multiply
    101,874.45x = 152,826.27 × 31,759.23
  4. Step 4: Simplify right side
    101,874.45x = 4,853,644,658.97
  5. Step 5: Solve for x
    x = 4,853,644,658.97/101,874.45
  6. Step 6: Final answer
    x = 47,643.39

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1.5x scale

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.