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Finding the Fourth Proportional to 30,761.55, 46,144.08 and 9,702.27

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Solution

The fourth proportional to 30,761.55, 46,144.08 and 9,702.27 is: 14,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.55 : 46,144.08 = 9,702.27 : x
  2. Step 2: Convert to fraction form
    30,761.55/46,144.08 = 9,702.27/x
  3. Step 3: Cross multiply
    30,761.55x = 46,144.08 × 9,702.27
  4. Step 4: Simplify right side
    30,761.55x = 447,702,323.06
  5. Step 5: Solve for x
    x = 447,702,323.06/30,761.55
  6. Step 6: Final answer
    x = 14,553.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.