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Finding the Fourth Proportional to 52,097.96, 71,871.36 and 30,865.16

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Solution

The fourth proportional to 52,097.96, 71,871.36 and 30,865.16 is: 42,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.96 : 71,871.36 = 30,865.16 : x
  2. Step 2: Convert to fraction form
    52,097.96/71,871.36 = 30,865.16/x
  3. Step 3: Cross multiply
    52,097.96x = 71,871.36 × 30,865.16
  4. Step 4: Simplify right side
    52,097.96x = 2,218,321,025.82
  5. Step 5: Solve for x
    x = 2,218,321,025.82/52,097.96
  6. Step 6: Final answer
    x = 42,579.81

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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.