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Finding the Fourth Proportional to 54,908.60, 82,298.10 and 23,318.60

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Solution

The fourth proportional to 54,908.60, 82,298.10 and 23,318.60 is: 34,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.60 : 82,298.10 = 23,318.60 : x
  2. Step 2: Convert to fraction form
    54,908.60/82,298.10 = 23,318.60/x
  3. Step 3: Cross multiply
    54,908.60x = 82,298.10 × 23,318.60
  4. Step 4: Simplify right side
    54,908.60x = 1,919,076,474.66
  5. Step 5: Solve for x
    x = 1,919,076,474.66/54,908.60
  6. Step 6: Final answer
    x = 34,950.38

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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.