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Finding the Fourth Proportional to 89,983.54, 135,066.30 and 52,615

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Solution

The fourth proportional to 89,983.54, 135,066.30 and 52,615 is: 78,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,983.54 : 135,066.30 = 52,615 : x
  2. Step 2: Convert to fraction form
    89,983.54/135,066.30 = 52,615/x
  3. Step 3: Cross multiply
    89,983.54x = 135,066.30 × 52,615
  4. Step 4: Simplify right side
    89,983.54x = 7,106,513,374.50
  5. Step 5: Solve for x
    x = 7,106,513,374.50/89,983.54
  6. Step 6: Final answer
    x = 78,975.70

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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.