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Finding the Fourth Proportional to 33,478.83, 50,120.71 and 17,646.17

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Solution

The fourth proportional to 33,478.83, 50,120.71 and 17,646.17 is: 26,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.83 : 50,120.71 = 17,646.17 : x
  2. Step 2: Convert to fraction form
    33,478.83/50,120.71 = 17,646.17/x
  3. Step 3: Cross multiply
    33,478.83x = 50,120.71 × 17,646.17
  4. Step 4: Simplify right side
    33,478.83x = 884,438,274.46
  5. Step 5: Solve for x
    x = 884,438,274.46/33,478.83
  6. Step 6: Final answer
    x = 26,417.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.