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Finding the Fourth Proportional to 36,034.08, 49,706.34 and 21,684

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Solution

The fourth proportional to 36,034.08, 49,706.34 and 21,684 is: 29,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,034.08 : 49,706.34 = 21,684 : x
  2. Step 2: Convert to fraction form
    36,034.08/49,706.34 = 21,684/x
  3. Step 3: Cross multiply
    36,034.08x = 49,706.34 × 21,684
  4. Step 4: Simplify right side
    36,034.08x = 1,077,832,276.56
  5. Step 5: Solve for x
    x = 1,077,832,276.56/36,034.08
  6. Step 6: Final answer
    x = 29,911.47

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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.