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Finding the Fourth Proportional to 30,461.49, 45,692.24 and 16,433.10

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Solution

The fourth proportional to 30,461.49, 45,692.24 and 16,433.10 is: 24,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.49 : 45,692.24 = 16,433.10 : x
  2. Step 2: Convert to fraction form
    30,461.49/45,692.24 = 16,433.10/x
  3. Step 3: Cross multiply
    30,461.49x = 45,692.24 × 16,433.10
  4. Step 4: Simplify right side
    30,461.49x = 750,865,066.98
  5. Step 5: Solve for x
    x = 750,865,066.98/30,461.49
  6. Step 6: Final answer
    x = 24,649.65

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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.