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Finding the Fourth Proportional to 33,931.63, 46,814.34 and 20,497.78

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Solution

The fourth proportional to 33,931.63, 46,814.34 and 20,497.78 is: 28,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.63 : 46,814.34 = 20,497.78 : x
  2. Step 2: Convert to fraction form
    33,931.63/46,814.34 = 20,497.78/x
  3. Step 3: Cross multiply
    33,931.63x = 46,814.34 × 20,497.78
  4. Step 4: Simplify right side
    33,931.63x = 959,590,042.17
  5. Step 5: Solve for x
    x = 959,590,042.17/33,931.63
  6. Step 6: Final answer
    x = 28,280.10

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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.