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Finding the Fourth Proportional to 82,993.64, 124,486.38 and 30,399.14

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Solution

The fourth proportional to 82,993.64, 124,486.38 and 30,399.14 is: 45,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.64 : 124,486.38 = 30,399.14 : x
  2. Step 2: Convert to fraction form
    82,993.64/124,486.38 = 30,399.14/x
  3. Step 3: Cross multiply
    82,993.64x = 124,486.38 × 30,399.14
  4. Step 4: Simplify right side
    82,993.64x = 3,784,278,893.71
  5. Step 5: Solve for x
    x = 3,784,278,893.71/82,993.64
  6. Step 6: Final answer
    x = 45,597.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.