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Finding the Fourth Proportional to 50,784.36, 76,185.38 and 21,223

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Solution

The fourth proportional to 50,784.36, 76,185.38 and 21,223 is: 31,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.36 : 76,185.38 = 21,223 : x
  2. Step 2: Convert to fraction form
    50,784.36/76,185.38 = 21,223/x
  3. Step 3: Cross multiply
    50,784.36x = 76,185.38 × 21,223
  4. Step 4: Simplify right side
    50,784.36x = 1,616,882,319.74
  5. Step 5: Solve for x
    x = 1,616,882,319.74/50,784.36
  6. Step 6: Final answer
    x = 31,838.19

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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.