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Finding the Fourth Proportional to 30,292.88, 41,780.52 and 19,685.96

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Solution

The fourth proportional to 30,292.88, 41,780.52 and 19,685.96 is: 27,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.88 : 41,780.52 = 19,685.96 : x
  2. Step 2: Convert to fraction form
    30,292.88/41,780.52 = 19,685.96/x
  3. Step 3: Cross multiply
    30,292.88x = 41,780.52 × 19,685.96
  4. Step 4: Simplify right side
    30,292.88x = 822,489,645.50
  5. Step 5: Solve for x
    x = 822,489,645.50/30,292.88
  6. Step 6: Final answer
    x = 27,151.25

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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.