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Finding the Fourth Proportional to 70,472.82, 105,644.53 and 30,466.82

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Solution

The fourth proportional to 70,472.82, 105,644.53 and 30,466.82 is: 45,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.82 : 105,644.53 = 30,466.82 : x
  2. Step 2: Convert to fraction form
    70,472.82/105,644.53 = 30,466.82/x
  3. Step 3: Cross multiply
    70,472.82x = 105,644.53 × 30,466.82
  4. Step 4: Simplify right side
    70,472.82x = 3,218,652,879.49
  5. Step 5: Solve for x
    x = 3,218,652,879.49/70,472.82
  6. Step 6: Final answer
    x = 45,672.26

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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.