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Finding the Fourth Proportional to 30,957.98, 46,427.24 and 13,188.44

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Solution

The fourth proportional to 30,957.98, 46,427.24 and 13,188.44 is: 19,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.98 : 46,427.24 = 13,188.44 : x
  2. Step 2: Convert to fraction form
    30,957.98/46,427.24 = 13,188.44/x
  3. Step 3: Cross multiply
    30,957.98x = 46,427.24 × 13,188.44
  4. Step 4: Simplify right side
    30,957.98x = 612,302,869.11
  5. Step 5: Solve for x
    x = 612,302,869.11/30,957.98
  6. Step 6: Final answer
    x = 19,778.51

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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.