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Finding the Fourth Proportional to 30,702.27, 42,346.42 and 21,145.22

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Solution

The fourth proportional to 30,702.27, 42,346.42 and 21,145.22 is: 29,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.27 : 42,346.42 = 21,145.22 : x
  2. Step 2: Convert to fraction form
    30,702.27/42,346.42 = 21,145.22/x
  3. Step 3: Cross multiply
    30,702.27x = 42,346.42 × 21,145.22
  4. Step 4: Simplify right side
    30,702.27x = 895,424,367.11
  5. Step 5: Solve for x
    x = 895,424,367.11/30,702.27
  6. Step 6: Final answer
    x = 29,164.76

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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.