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Finding the Fourth Proportional to 33,614.76, 46,384.38 and 19,464.84

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Solution

The fourth proportional to 33,614.76, 46,384.38 and 19,464.84 is: 26,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.76 : 46,384.38 = 19,464.84 : x
  2. Step 2: Convert to fraction form
    33,614.76/46,384.38 = 19,464.84/x
  3. Step 3: Cross multiply
    33,614.76x = 46,384.38 × 19,464.84
  4. Step 4: Simplify right side
    33,614.76x = 902,864,535.20
  5. Step 5: Solve for x
    x = 902,864,535.20/33,614.76
  6. Step 6: Final answer
    x = 26,859.17

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Why These Related Problems?

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