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Finding the Fourth Proportional to 30,891, 42,629.67 and 16,743.90

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Solution

The fourth proportional to 30,891, 42,629.67 and 16,743.90 is: 23,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891 : 42,629.67 = 16,743.90 : x
  2. Step 2: Convert to fraction form
    30,891/42,629.67 = 16,743.90/x
  3. Step 3: Cross multiply
    30,891x = 42,629.67 × 16,743.90
  4. Step 4: Simplify right side
    30,891x = 713,786,931.51
  5. Step 5: Solve for x
    x = 713,786,931.51/30,891
  6. Step 6: Final answer
    x = 23,106.63

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1.5x scale

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.