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Finding the Fourth Proportional to 76,483.87, 114,686.41 and 34,327.81

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Solution

The fourth proportional to 76,483.87, 114,686.41 and 34,327.81 is: 51,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483.87 : 114,686.41 = 34,327.81 : x
  2. Step 2: Convert to fraction form
    76,483.87/114,686.41 = 34,327.81/x
  3. Step 3: Cross multiply
    76,483.87x = 114,686.41 × 34,327.81
  4. Step 4: Simplify right side
    76,483.87x = 3,936,933,292.06
  5. Step 5: Solve for x
    x = 3,936,933,292.06/76,483.87
  6. Step 6: Final answer
    x = 51,474.03

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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.