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Finding the Fourth Proportional to 30,692.38, 46,045.32 and 18,223.78

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Solution

The fourth proportional to 30,692.38, 46,045.32 and 18,223.78 is: 27,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.38 : 46,045.32 = 18,223.78 : x
  2. Step 2: Convert to fraction form
    30,692.38/46,045.32 = 18,223.78/x
  3. Step 3: Cross multiply
    30,692.38x = 46,045.32 × 18,223.78
  4. Step 4: Simplify right side
    30,692.38x = 839,119,781.71
  5. Step 5: Solve for x
    x = 839,119,781.71/30,692.38
  6. Step 6: Final answer
    x = 27,339.68

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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.