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Finding the Fourth Proportional to 54,900, 82,350.05 and 15,457.12

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Solution

The fourth proportional to 54,900, 82,350.05 and 15,457.12 is: 23,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,900 : 82,350.05 = 15,457.12 : x
  2. Step 2: Convert to fraction form
    54,900/82,350.05 = 15,457.12/x
  3. Step 3: Cross multiply
    54,900x = 82,350.05 × 15,457.12
  4. Step 4: Simplify right side
    54,900x = 1,272,894,321.70
  5. Step 5: Solve for x
    x = 1,272,894,321.70/54,900
  6. Step 6: Final answer
    x = 23,185.69

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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.