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Finding the Fourth Proportional to 82,583.80, 114,012.94 and 54,371.50

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Solution

The fourth proportional to 82,583.80, 114,012.94 and 54,371.50 is: 75,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,583.80 : 114,012.94 = 54,371.50 : x
  2. Step 2: Convert to fraction form
    82,583.80/114,012.94 = 54,371.50/x
  3. Step 3: Cross multiply
    82,583.80x = 114,012.94 × 54,371.50
  4. Step 4: Simplify right side
    82,583.80x = 6,199,054,567.21
  5. Step 5: Solve for x
    x = 6,199,054,567.21/82,583.80
  6. Step 6: Final answer
    x = 75,063.81

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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.