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Finding the Fourth Proportional to 53,692.80, 74,105.72 and 31,028.66

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Solution

The fourth proportional to 53,692.80, 74,105.72 and 31,028.66 is: 42,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.80 : 74,105.72 = 31,028.66 : x
  2. Step 2: Convert to fraction form
    53,692.80/74,105.72 = 31,028.66/x
  3. Step 3: Cross multiply
    53,692.80x = 74,105.72 × 31,028.66
  4. Step 4: Simplify right side
    53,692.80x = 2,299,401,189.94
  5. Step 5: Solve for x
    x = 2,299,401,189.94/53,692.80
  6. Step 6: Final answer
    x = 42,825.13

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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.