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Finding the Fourth Proportional to 83,268, 124,923.60 and 29,958.12

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Solution

The fourth proportional to 83,268, 124,923.60 and 29,958.12 is: 44,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 124,923.60 = 29,958.12 : x
  2. Step 2: Convert to fraction form
    83,268/124,923.60 = 29,958.12/x
  3. Step 3: Cross multiply
    83,268x = 124,923.60 × 29,958.12
  4. Step 4: Simplify right side
    83,268x = 3,742,476,199.63
  5. Step 5: Solve for x
    x = 3,742,476,199.63/83,268
  6. Step 6: Final answer
    x = 44,944.95

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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.