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Finding the Fourth Proportional to 76,305, 114,418.62 and 31,919.72

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Solution

The fourth proportional to 76,305, 114,418.62 and 31,919.72 is: 47,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305 : 114,418.62 = 31,919.72 : x
  2. Step 2: Convert to fraction form
    76,305/114,418.62 = 31,919.72/x
  3. Step 3: Cross multiply
    76,305x = 114,418.62 × 31,919.72
  4. Step 4: Simplify right side
    76,305x = 3,652,210,313.19
  5. Step 5: Solve for x
    x = 3,652,210,313.19/76,305
  6. Step 6: Final answer
    x = 47,863.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.