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Finding the Fourth Proportional to 31,074.84, 46,626.84 and 15,493.68

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Solution

The fourth proportional to 31,074.84, 46,626.84 and 15,493.68 is: 23,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.84 : 46,626.84 = 15,493.68 : x
  2. Step 2: Convert to fraction form
    31,074.84/46,626.84 = 15,493.68/x
  3. Step 3: Cross multiply
    31,074.84x = 46,626.84 × 15,493.68
  4. Step 4: Simplify right side
    31,074.84x = 722,421,338.37
  5. Step 5: Solve for x
    x = 722,421,338.37/31,074.84
  6. Step 6: Final answer
    x = 23,247.79

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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.