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Finding the Fourth Proportional to 77,457.32, 116,190.30 and 22,049

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Solution

The fourth proportional to 77,457.32, 116,190.30 and 22,049 is: 33,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457.32 : 116,190.30 = 22,049 : x
  2. Step 2: Convert to fraction form
    77,457.32/116,190.30 = 22,049/x
  3. Step 3: Cross multiply
    77,457.32x = 116,190.30 × 22,049
  4. Step 4: Simplify right side
    77,457.32x = 2,561,879,924.70
  5. Step 5: Solve for x
    x = 2,561,879,924.70/77,457.32
  6. Step 6: Final answer
    x = 33,074.73

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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.