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Finding the Fourth Proportional to 30,942.94, 42,692.63 and 17,513.90

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Solution

The fourth proportional to 30,942.94, 42,692.63 and 17,513.90 is: 24,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.94 : 42,692.63 = 17,513.90 : x
  2. Step 2: Convert to fraction form
    30,942.94/42,692.63 = 17,513.90/x
  3. Step 3: Cross multiply
    30,942.94x = 42,692.63 × 17,513.90
  4. Step 4: Simplify right side
    30,942.94x = 747,714,603.07
  5. Step 5: Solve for x
    x = 747,714,603.07/30,942.94
  6. Step 6: Final answer
    x = 24,164.31

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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.