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Finding the Fourth Proportional to 90,367.84, 135,569.88 and 31,205.68

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Solution

The fourth proportional to 90,367.84, 135,569.88 and 31,205.68 is: 46,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,367.84 : 135,569.88 = 31,205.68 : x
  2. Step 2: Convert to fraction form
    90,367.84/135,569.88 = 31,205.68/x
  3. Step 3: Cross multiply
    90,367.84x = 135,569.88 × 31,205.68
  4. Step 4: Simplify right side
    90,367.84x = 4,230,550,292.92
  5. Step 5: Solve for x
    x = 4,230,550,292.92/90,367.84
  6. Step 6: Final answer
    x = 46,814.78

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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.