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Finding the Fourth Proportional to 64,472.41, 96,684 and 25,024.42

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Solution

The fourth proportional to 64,472.41, 96,684 and 25,024.42 is: 37,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,472.41 : 96,684 = 25,024.42 : x
  2. Step 2: Convert to fraction form
    64,472.41/96,684 = 25,024.42/x
  3. Step 3: Cross multiply
    64,472.41x = 96,684 × 25,024.42
  4. Step 4: Simplify right side
    64,472.41x = 2,419,461,023.28
  5. Step 5: Solve for x
    x = 2,419,461,023.28/64,472.41
  6. Step 6: Final answer
    x = 37,527.08

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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.