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Finding the Fourth Proportional to 33,707.40, 46,518 and 20,282.88

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Solution

The fourth proportional to 33,707.40, 46,518 and 20,282.88 is: 27,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707.40 : 46,518 = 20,282.88 : x
  2. Step 2: Convert to fraction form
    33,707.40/46,518 = 20,282.88/x
  3. Step 3: Cross multiply
    33,707.40x = 46,518 × 20,282.88
  4. Step 4: Simplify right side
    33,707.40x = 943,519,011.84
  5. Step 5: Solve for x
    x = 943,519,011.84/33,707.40
  6. Step 6: Final answer
    x = 27,991.45

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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.