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Finding the Fourth Proportional to 31,128.80, 46,620.30 and 21,214.40

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Solution

The fourth proportional to 31,128.80, 46,620.30 and 21,214.40 is: 31,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.80 : 46,620.30 = 21,214.40 : x
  2. Step 2: Convert to fraction form
    31,128.80/46,620.30 = 21,214.40/x
  3. Step 3: Cross multiply
    31,128.80x = 46,620.30 × 21,214.40
  4. Step 4: Simplify right side
    31,128.80x = 989,021,692.32
  5. Step 5: Solve for x
    x = 989,021,692.32/31,128.80
  6. Step 6: Final answer
    x = 31,771.92

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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.