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Finding the Fourth Proportional to 24,692.49, 37,030.73 and 8,048.16

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Solution

The fourth proportional to 24,692.49, 37,030.73 and 8,048.16 is: 12,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.49 : 37,030.73 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    24,692.49/37,030.73 = 8,048.16/x
  3. Step 3: Cross multiply
    24,692.49x = 37,030.73 × 8,048.16
  4. Step 4: Simplify right side
    24,692.49x = 298,029,199.72
  5. Step 5: Solve for x
    x = 298,029,199.72/24,692.49
  6. Step 6: Final answer
    x = 12,069.63

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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.