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Finding the Fourth Proportional to 52,033.20, 71,804.28 and 29,373

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Solution

The fourth proportional to 52,033.20, 71,804.28 and 29,373 is: 40,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.20 : 71,804.28 = 29,373 : x
  2. Step 2: Convert to fraction form
    52,033.20/71,804.28 = 29,373/x
  3. Step 3: Cross multiply
    52,033.20x = 71,804.28 × 29,373
  4. Step 4: Simplify right side
    52,033.20x = 2,109,107,116.44
  5. Step 5: Solve for x
    x = 2,109,107,116.44/52,033.20
  6. Step 6: Final answer
    x = 40,533.87

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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.