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Finding the Fourth Proportional to 43,714, 60,325.32 and 23,842

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Solution

The fourth proportional to 43,714, 60,325.32 and 23,842 is: 32,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714 : 60,325.32 = 23,842 : x
  2. Step 2: Convert to fraction form
    43,714/60,325.32 = 23,842/x
  3. Step 3: Cross multiply
    43,714x = 60,325.32 × 23,842
  4. Step 4: Simplify right side
    43,714x = 1,438,276,279.44
  5. Step 5: Solve for x
    x = 1,438,276,279.44/43,714
  6. Step 6: Final answer
    x = 32,901.96

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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.