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Finding the Fourth Proportional to 43,586, 60,148.68 and 23,714

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Solution

The fourth proportional to 43,586, 60,148.68 and 23,714 is: 32,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586 : 60,148.68 = 23,714 : x
  2. Step 2: Convert to fraction form
    43,586/60,148.68 = 23,714/x
  3. Step 3: Cross multiply
    43,586x = 60,148.68 × 23,714
  4. Step 4: Simplify right side
    43,586x = 1,426,365,797.52
  5. Step 5: Solve for x
    x = 1,426,365,797.52/43,586
  6. Step 6: Final answer
    x = 32,725.32

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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.