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Finding the Fourth Proportional to 95,989, 144,035.34 and 46,741

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Solution

The fourth proportional to 95,989, 144,035.34 and 46,741 is: 70,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,989 : 144,035.34 = 46,741 : x
  2. Step 2: Convert to fraction form
    95,989/144,035.34 = 46,741/x
  3. Step 3: Cross multiply
    95,989x = 144,035.34 × 46,741
  4. Step 4: Simplify right side
    95,989x = 6,732,355,826.94
  5. Step 5: Solve for x
    x = 6,732,355,826.94/95,989
  6. Step 6: Final answer
    x = 70,136.74

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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.