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Finding the Fourth Proportional to 29,804, 41,129.60 and 16,556

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Solution

The fourth proportional to 29,804, 41,129.60 and 16,556 is: 22,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804 : 41,129.60 = 16,556 : x
  2. Step 2: Convert to fraction form
    29,804/41,129.60 = 16,556/x
  3. Step 3: Cross multiply
    29,804x = 41,129.60 × 16,556
  4. Step 4: Simplify right side
    29,804x = 680,941,657.60
  5. Step 5: Solve for x
    x = 680,941,657.60/29,804
  6. Step 6: Final answer
    x = 22,847.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.