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Finding the Fourth Proportional to 96,634.54, 144,965.49 and 30,081.40

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Solution

The fourth proportional to 96,634.54, 144,965.49 and 30,081.40 is: 45,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,634.54 : 144,965.49 = 30,081.40 : x
  2. Step 2: Convert to fraction form
    96,634.54/144,965.49 = 30,081.40/x
  3. Step 3: Cross multiply
    96,634.54x = 144,965.49 × 30,081.40
  4. Step 4: Simplify right side
    96,634.54x = 4,360,764,415.67
  5. Step 5: Solve for x
    x = 4,360,764,415.67/96,634.54
  6. Step 6: Final answer
    x = 45,126.35

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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.