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Finding the Fourth Proportional to 36,714.06, 50,630.13 and 23,287.50

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Solution

The fourth proportional to 36,714.06, 50,630.13 and 23,287.50 is: 32,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714.06 : 50,630.13 = 23,287.50 : x
  2. Step 2: Convert to fraction form
    36,714.06/50,630.13 = 23,287.50/x
  3. Step 3: Cross multiply
    36,714.06x = 50,630.13 × 23,287.50
  4. Step 4: Simplify right side
    36,714.06x = 1,179,049,152.38
  5. Step 5: Solve for x
    x = 1,179,049,152.38/36,714.06
  6. Step 6: Final answer
    x = 32,114.38

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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.