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Finding the Fourth Proportional to 52,033.68, 71,817.72 and 32,901.24

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Solution

The fourth proportional to 52,033.68, 71,817.72 and 32,901.24 is: 45,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.68 : 71,817.72 = 32,901.24 : x
  2. Step 2: Convert to fraction form
    52,033.68/71,817.72 = 32,901.24/x
  3. Step 3: Cross multiply
    52,033.68x = 71,817.72 × 32,901.24
  4. Step 4: Simplify right side
    52,033.68x = 2,362,892,041.97
  5. Step 5: Solve for x
    x = 2,362,892,041.97/52,033.68
  6. Step 6: Final answer
    x = 45,410.82

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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.