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Finding the Fourth Proportional to 33,384.76, 46,071 and 20,809.52

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Solution

The fourth proportional to 33,384.76, 46,071 and 20,809.52 is: 28,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.76 : 46,071 = 20,809.52 : x
  2. Step 2: Convert to fraction form
    33,384.76/46,071 = 20,809.52/x
  3. Step 3: Cross multiply
    33,384.76x = 46,071 × 20,809.52
  4. Step 4: Simplify right side
    33,384.76x = 958,715,395.92
  5. Step 5: Solve for x
    x = 958,715,395.92/33,384.76
  6. Step 6: Final answer
    x = 28,717.16

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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.