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Finding the Fourth Proportional to 54,228.80, 81,377.76 and 23,064

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Solution

The fourth proportional to 54,228.80, 81,377.76 and 23,064 is: 34,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228.80 : 81,377.76 = 23,064 : x
  2. Step 2: Convert to fraction form
    54,228.80/81,377.76 = 23,064/x
  3. Step 3: Cross multiply
    54,228.80x = 81,377.76 × 23,064
  4. Step 4: Simplify right side
    54,228.80x = 1,876,896,656.64
  5. Step 5: Solve for x
    x = 1,876,896,656.64/54,228.80
  6. Step 6: Final answer
    x = 34,610.70

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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.