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Finding the Fourth Proportional to 76,651.36, 114,919.74 and 52,891.12

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Solution

The fourth proportional to 76,651.36, 114,919.74 and 52,891.12 is: 79,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.36 : 114,919.74 = 52,891.12 : x
  2. Step 2: Convert to fraction form
    76,651.36/114,919.74 = 52,891.12/x
  3. Step 3: Cross multiply
    76,651.36x = 114,919.74 × 52,891.12
  4. Step 4: Simplify right side
    76,651.36x = 6,078,233,758.71
  5. Step 5: Solve for x
    x = 6,078,233,758.71/76,651.36
  6. Step 6: Final answer
    x = 79,297.14

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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.