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Finding the Fourth Proportional to 172,961.48, 259,420.75 and 46,611.61

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Solution

The fourth proportional to 172,961.48, 259,420.75 and 46,611.61 is: 69,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,961.48 : 259,420.75 = 46,611.61 : x
  2. Step 2: Convert to fraction form
    172,961.48/259,420.75 = 46,611.61/x
  3. Step 3: Cross multiply
    172,961.48x = 259,420.75 × 46,611.61
  4. Step 4: Simplify right side
    172,961.48x = 12,092,018,059.83
  5. Step 5: Solve for x
    x = 12,092,018,059.83/172,961.48
  6. Step 6: Final answer
    x = 69,911.62

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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.