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Finding the Fourth Proportional to 27,702.63, 41,740.94 and 22,880.30

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Solution

The fourth proportional to 27,702.63, 41,740.94 and 22,880.30 is: 34,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.63 : 41,740.94 = 22,880.30 : x
  2. Step 2: Convert to fraction form
    27,702.63/41,740.94 = 22,880.30/x
  3. Step 3: Cross multiply
    27,702.63x = 41,740.94 × 22,880.30
  4. Step 4: Simplify right side
    27,702.63x = 955,045,077.98
  5. Step 5: Solve for x
    x = 955,045,077.98/27,702.63
  6. Step 6: Final answer
    x = 34,474.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.