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Finding the Fourth Proportional to 30,218.70, 41,707.78 and 19,309.86

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Solution

The fourth proportional to 30,218.70, 41,707.78 and 19,309.86 is: 26,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218.70 : 41,707.78 = 19,309.86 : x
  2. Step 2: Convert to fraction form
    30,218.70/41,707.78 = 19,309.86/x
  3. Step 3: Cross multiply
    30,218.70x = 41,707.78 × 19,309.86
  4. Step 4: Simplify right side
    30,218.70x = 805,371,392.71
  5. Step 5: Solve for x
    x = 805,371,392.71/30,218.70
  6. Step 6: Final answer
    x = 26,651.42

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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.