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Finding the Fourth Proportional to 76,345, 114,519.66 and 20,941

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Solution

The fourth proportional to 76,345, 114,519.66 and 20,941 is: 31,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345 : 114,519.66 = 20,941 : x
  2. Step 2: Convert to fraction form
    76,345/114,519.66 = 20,941/x
  3. Step 3: Cross multiply
    76,345x = 114,519.66 × 20,941
  4. Step 4: Simplify right side
    76,345x = 2,398,156,200.06
  5. Step 5: Solve for x
    x = 2,398,156,200.06/76,345
  6. Step 6: Final answer
    x = 31,412.09

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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.