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Finding the Fourth Proportional to 114,548.48, 171,856 and 51,354.56

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Solution

The fourth proportional to 114,548.48, 171,856 and 51,354.56 is: 77,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548.48 : 171,856 = 51,354.56 : x
  2. Step 2: Convert to fraction form
    114,548.48/171,856 = 51,354.56/x
  3. Step 3: Cross multiply
    114,548.48x = 171,856 × 51,354.56
  4. Step 4: Simplify right side
    114,548.48x = 8,825,589,263.36
  5. Step 5: Solve for x
    x = 8,825,589,263.36/114,548.48
  6. Step 6: Final answer
    x = 77,046.76

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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.