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Finding the Fourth Proportional to 54,582.90, 81,878.14 and 21,291.90

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Solution

The fourth proportional to 54,582.90, 81,878.14 and 21,291.90 is: 31,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582.90 : 81,878.14 = 21,291.90 : x
  2. Step 2: Convert to fraction form
    54,582.90/81,878.14 = 21,291.90/x
  3. Step 3: Cross multiply
    54,582.90x = 81,878.14 × 21,291.90
  4. Step 4: Simplify right side
    54,582.90x = 1,743,341,169.07
  5. Step 5: Solve for x
    x = 1,743,341,169.07/54,582.90
  6. Step 6: Final answer
    x = 31,939.33

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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.