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Finding the Fourth Proportional to 54,671.31, 82,006.97 and 31,281.48

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Solution

The fourth proportional to 54,671.31, 82,006.97 and 31,281.48 is: 46,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.31 : 82,006.97 = 31,281.48 : x
  2. Step 2: Convert to fraction form
    54,671.31/82,006.97 = 31,281.48/x
  3. Step 3: Cross multiply
    54,671.31x = 82,006.97 × 31,281.48
  4. Step 4: Simplify right side
    54,671.31x = 2,565,299,235.51
  5. Step 5: Solve for x
    x = 2,565,299,235.51/54,671.31
  6. Step 6: Final answer
    x = 46,922.22

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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.