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Finding the Fourth Proportional to 64,882.64, 97,378.64 and 25,467.42

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Solution

The fourth proportional to 64,882.64, 97,378.64 and 25,467.42 is: 38,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,882.64 : 97,378.64 = 25,467.42 : x
  2. Step 2: Convert to fraction form
    64,882.64/97,378.64 = 25,467.42/x
  3. Step 3: Cross multiply
    64,882.64x = 97,378.64 × 25,467.42
  4. Step 4: Simplify right side
    64,882.64x = 2,479,982,596.57
  5. Step 5: Solve for x
    x = 2,479,982,596.57/64,882.64
  6. Step 6: Final answer
    x = 38,222.59

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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.