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Finding the Fourth Proportional to 82,846.62, 114,328.26 and 45,121.14

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Solution

The fourth proportional to 82,846.62, 114,328.26 and 45,121.14 is: 62,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846.62 : 114,328.26 = 45,121.14 : x
  2. Step 2: Convert to fraction form
    82,846.62/114,328.26 = 45,121.14/x
  3. Step 3: Cross multiply
    82,846.62x = 114,328.26 × 45,121.14
  4. Step 4: Simplify right side
    82,846.62x = 5,158,621,425.42
  5. Step 5: Solve for x
    x = 5,158,621,425.42/82,846.62
  6. Step 6: Final answer
    x = 62,267.13

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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.