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Finding the Fourth Proportional to 33,468.64, 46,182.96 and 20,716

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Solution

The fourth proportional to 33,468.64, 46,182.96 and 20,716 is: 28,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468.64 : 46,182.96 = 20,716 : x
  2. Step 2: Convert to fraction form
    33,468.64/46,182.96 = 20,716/x
  3. Step 3: Cross multiply
    33,468.64x = 46,182.96 × 20,716
  4. Step 4: Simplify right side
    33,468.64x = 956,726,199.36
  5. Step 5: Solve for x
    x = 956,726,199.36/33,468.64
  6. Step 6: Final answer
    x = 28,585.75

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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.