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Finding the Fourth Proportional to 54,659.66, 81,989.48 and 31,269.69

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Solution

The fourth proportional to 54,659.66, 81,989.48 and 31,269.69 is: 46,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.66 : 81,989.48 = 31,269.69 : x
  2. Step 2: Convert to fraction form
    54,659.66/81,989.48 = 31,269.69/x
  3. Step 3: Cross multiply
    54,659.66x = 81,989.48 × 31,269.69
  4. Step 4: Simplify right side
    54,659.66x = 2,563,785,701.04
  5. Step 5: Solve for x
    x = 2,563,785,701.04/54,659.66
  6. Step 6: Final answer
    x = 46,904.54

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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.