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Finding the Fourth Proportional to 93,650.48, 140,475.76 and 43,714

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Solution

The fourth proportional to 93,650.48, 140,475.76 and 43,714 is: 65,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,650.48 : 140,475.76 = 43,714 : x
  2. Step 2: Convert to fraction form
    93,650.48/140,475.76 = 43,714/x
  3. Step 3: Cross multiply
    93,650.48x = 140,475.76 × 43,714
  4. Step 4: Simplify right side
    93,650.48x = 6,140,757,372.64
  5. Step 5: Solve for x
    x = 6,140,757,372.64/93,650.48
  6. Step 6: Final answer
    x = 65,571.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.