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Finding the Fourth Proportional to 64,138.64, 96,224.16 and 26,687.48

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Solution

The fourth proportional to 64,138.64, 96,224.16 and 26,687.48 is: 40,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.64 : 96,224.16 = 26,687.48 : x
  2. Step 2: Convert to fraction form
    64,138.64/96,224.16 = 26,687.48/x
  3. Step 3: Cross multiply
    64,138.64x = 96,224.16 × 26,687.48
  4. Step 4: Simplify right side
    64,138.64x = 2,567,980,345.52
  5. Step 5: Solve for x
    x = 2,567,980,345.52/64,138.64
  6. Step 6: Final answer
    x = 40,037.96

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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.