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Finding the Fourth Proportional to 30,702.98, 42,367.73 and 17,271.56

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Solution

The fourth proportional to 30,702.98, 42,367.73 and 17,271.56 is: 23,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.98 : 42,367.73 = 17,271.56 : x
  2. Step 2: Convert to fraction form
    30,702.98/42,367.73 = 17,271.56/x
  3. Step 3: Cross multiply
    30,702.98x = 42,367.73 × 17,271.56
  4. Step 4: Simplify right side
    30,702.98x = 731,756,492.56
  5. Step 5: Solve for x
    x = 731,756,492.56/30,702.98
  6. Step 6: Final answer
    x = 23,833.41

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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.