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Finding the Fourth Proportional to 75,980.84, 113,976.11 and 29,233.71

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Solution

The fourth proportional to 75,980.84, 113,976.11 and 29,233.71 is: 43,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.84 : 113,976.11 = 29,233.71 : x
  2. Step 2: Convert to fraction form
    75,980.84/113,976.11 = 29,233.71/x
  3. Step 3: Cross multiply
    75,980.84x = 113,976.11 × 29,233.71
  4. Step 4: Simplify right side
    75,980.84x = 3,331,944,619.75
  5. Step 5: Solve for x
    x = 3,331,944,619.75/75,980.84
  6. Step 6: Final answer
    x = 43,852.43

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1.5x scale

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.