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Finding the Fourth Proportional to 82,993.68, 114,529.68 and 45,268.20

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Solution

The fourth proportional to 82,993.68, 114,529.68 and 45,268.20 is: 62,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.68 : 114,529.68 = 45,268.20 : x
  2. Step 2: Convert to fraction form
    82,993.68/114,529.68 = 45,268.20/x
  3. Step 3: Cross multiply
    82,993.68x = 114,529.68 × 45,268.20
  4. Step 4: Simplify right side
    82,993.68x = 5,184,552,460.18
  5. Step 5: Solve for x
    x = 5,184,552,460.18/82,993.68
  6. Step 6: Final answer
    x = 62,469.24

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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.