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Finding the Fourth Proportional to 76,467, 114,700.52 and 23,881

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Solution

The fourth proportional to 76,467, 114,700.52 and 23,881 is: 35,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 114,700.52 = 23,881 : x
  2. Step 2: Convert to fraction form
    76,467/114,700.52 = 23,881/x
  3. Step 3: Cross multiply
    76,467x = 114,700.52 × 23,881
  4. Step 4: Simplify right side
    76,467x = 2,739,163,118.12
  5. Step 5: Solve for x
    x = 2,739,163,118.12/76,467
  6. Step 6: Final answer
    x = 35,821.51

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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.