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Finding the Fourth Proportional to 76,499.96, 114,745.48 and 34,369.16

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Solution

The fourth proportional to 76,499.96, 114,745.48 and 34,369.16 is: 51,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499.96 : 114,745.48 = 34,369.16 : x
  2. Step 2: Convert to fraction form
    76,499.96/114,745.48 = 34,369.16/x
  3. Step 3: Cross multiply
    76,499.96x = 114,745.48 × 34,369.16
  4. Step 4: Simplify right side
    76,499.96x = 3,943,705,761.40
  5. Step 5: Solve for x
    x = 3,943,705,761.40/76,499.96
  6. Step 6: Final answer
    x = 51,551.74

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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.