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Finding the Fourth Proportional to 30,702.46, 42,374.49 and 19,378.13

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Solution

The fourth proportional to 30,702.46, 42,374.49 and 19,378.13 is: 26,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.46 : 42,374.49 = 19,378.13 : x
  2. Step 2: Convert to fraction form
    30,702.46/42,374.49 = 19,378.13/x
  3. Step 3: Cross multiply
    30,702.46x = 42,374.49 × 19,378.13
  4. Step 4: Simplify right side
    30,702.46x = 821,138,375.90
  5. Step 5: Solve for x
    x = 821,138,375.90/30,702.46
  6. Step 6: Final answer
    x = 26,745.04

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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.