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Finding the Fourth Proportional to 54,909.90, 75,780.36 and 31,040.82

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Solution

The fourth proportional to 54,909.90, 75,780.36 and 31,040.82 is: 42,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.90 : 75,780.36 = 31,040.82 : x
  2. Step 2: Convert to fraction form
    54,909.90/75,780.36 = 31,040.82/x
  3. Step 3: Cross multiply
    54,909.90x = 75,780.36 × 31,040.82
  4. Step 4: Simplify right side
    54,909.90x = 2,352,284,514.30
  5. Step 5: Solve for x
    x = 2,352,284,514.30/54,909.90
  6. Step 6: Final answer
    x = 42,838.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.