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Finding the Fourth Proportional to 42,791.85, 64,219.28 and 20,302.57

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Solution

The fourth proportional to 42,791.85, 64,219.28 and 20,302.57 is: 30,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,791.85 : 64,219.28 = 20,302.57 : x
  2. Step 2: Convert to fraction form
    42,791.85/64,219.28 = 20,302.57/x
  3. Step 3: Cross multiply
    42,791.85x = 64,219.28 × 20,302.57
  4. Step 4: Simplify right side
    42,791.85x = 1,303,816,427.55
  5. Step 5: Solve for x
    x = 1,303,816,427.55/42,791.85
  6. Step 6: Final answer
    x = 30,468.80

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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.