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Finding the Fourth Proportional to 30,980.33, 46,444.37 and 13,436.95

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Solution

The fourth proportional to 30,980.33, 46,444.37 and 13,436.95 is: 20,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.33 : 46,444.37 = 13,436.95 : x
  2. Step 2: Convert to fraction form
    30,980.33/46,444.37 = 13,436.95/x
  3. Step 3: Cross multiply
    30,980.33x = 46,444.37 × 13,436.95
  4. Step 4: Simplify right side
    30,980.33x = 624,070,445.25
  5. Step 5: Solve for x
    x = 624,070,445.25/30,980.33
  6. Step 6: Final answer
    x = 20,144.09

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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.