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Finding the Fourth Proportional to 30,077.25, 41,506.01 and 16,648.50

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Solution

The fourth proportional to 30,077.25, 41,506.01 and 16,648.50 is: 22,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.25 : 41,506.01 = 16,648.50 : x
  2. Step 2: Convert to fraction form
    30,077.25/41,506.01 = 16,648.50/x
  3. Step 3: Cross multiply
    30,077.25x = 41,506.01 × 16,648.50
  4. Step 4: Simplify right side
    30,077.25x = 691,012,724.24
  5. Step 5: Solve for x
    x = 691,012,724.24/30,077.25
  6. Step 6: Final answer
    x = 22,974.60

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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.