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Finding the Fourth Proportional to 96,073, 144,161.34 and 46,825

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Solution

The fourth proportional to 96,073, 144,161.34 and 46,825 is: 70,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,073 : 144,161.34 = 46,825 : x
  2. Step 2: Convert to fraction form
    96,073/144,161.34 = 46,825/x
  3. Step 3: Cross multiply
    96,073x = 144,161.34 × 46,825
  4. Step 4: Simplify right side
    96,073x = 6,750,354,745.50
  5. Step 5: Solve for x
    x = 6,750,354,745.50/96,073
  6. Step 6: Final answer
    x = 70,262.77

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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.