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Finding the Fourth Proportional to 82,873.08, 114,373.08 and 50,605.92

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Solution

The fourth proportional to 82,873.08, 114,373.08 and 50,605.92 is: 69,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.08 : 114,373.08 = 50,605.92 : x
  2. Step 2: Convert to fraction form
    82,873.08/114,373.08 = 50,605.92/x
  3. Step 3: Cross multiply
    82,873.08x = 114,373.08 × 50,605.92
  4. Step 4: Simplify right side
    82,873.08x = 5,787,954,936.63
  5. Step 5: Solve for x
    x = 5,787,954,936.63/82,873.08
  6. Step 6: Final answer
    x = 69,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.