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Finding the Fourth Proportional to 33,703.70, 46,515.57 and 20,282.40

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Solution

The fourth proportional to 33,703.70, 46,515.57 and 20,282.40 is: 27,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,703.70 : 46,515.57 = 20,282.40 : x
  2. Step 2: Convert to fraction form
    33,703.70/46,515.57 = 20,282.40/x
  3. Step 3: Cross multiply
    33,703.70x = 46,515.57 × 20,282.40
  4. Step 4: Simplify right side
    33,703.70x = 943,447,320.91
  5. Step 5: Solve for x
    x = 943,447,320.91/33,703.70
  6. Step 6: Final answer
    x = 27,992.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.