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Finding the Fourth Proportional to 30,214.70, 41,702.26 and 19,305.86

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Solution

The fourth proportional to 30,214.70, 41,702.26 and 19,305.86 is: 26,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.70 : 41,702.26 = 19,305.86 : x
  2. Step 2: Convert to fraction form
    30,214.70/41,702.26 = 19,305.86/x
  3. Step 3: Cross multiply
    30,214.70x = 41,702.26 × 19,305.86
  4. Step 4: Simplify right side
    30,214.70x = 805,097,993.24
  5. Step 5: Solve for x
    x = 805,097,993.24/30,214.70
  6. Step 6: Final answer
    x = 26,645.90

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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.