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Finding the Fourth Proportional to 64,505.76, 96,733.78 and 25,057.68

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Solution

The fourth proportional to 64,505.76, 96,733.78 and 25,057.68 is: 37,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.76 : 96,733.78 = 25,057.68 : x
  2. Step 2: Convert to fraction form
    64,505.76/96,733.78 = 25,057.68/x
  3. Step 3: Cross multiply
    64,505.76x = 96,733.78 × 25,057.68
  4. Step 4: Simplify right side
    64,505.76x = 2,423,924,104.43
  5. Step 5: Solve for x
    x = 2,423,924,104.43/64,505.76
  6. Step 6: Final answer
    x = 37,576.86

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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.