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Finding the Fourth Proportional to 76,933.50, 106,167.44 and 45,096.26

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Solution

The fourth proportional to 76,933.50, 106,167.44 and 45,096.26 is: 62,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,933.50 : 106,167.44 = 45,096.26 : x
  2. Step 2: Convert to fraction form
    76,933.50/106,167.44 = 45,096.26/x
  3. Step 3: Cross multiply
    76,933.50x = 106,167.44 × 45,096.26
  4. Step 4: Simplify right side
    76,933.50x = 4,787,754,477.77
  5. Step 5: Solve for x
    x = 4,787,754,477.77/76,933.50
  6. Step 6: Final answer
    x = 62,232.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.