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Finding the Fourth Proportional to 82,993.56, 114,530.40 and 45,267

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Solution

The fourth proportional to 82,993.56, 114,530.40 and 45,267 is: 62,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.56 : 114,530.40 = 45,267 : x
  2. Step 2: Convert to fraction form
    82,993.56/114,530.40 = 45,267/x
  3. Step 3: Cross multiply
    82,993.56x = 114,530.40 × 45,267
  4. Step 4: Simplify right side
    82,993.56x = 5,184,447,616.80
  5. Step 5: Solve for x
    x = 5,184,447,616.80/82,993.56
  6. Step 6: Final answer
    x = 62,468.07

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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.