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Finding the Fourth Proportional to 29,647.65, 40,914.72 and 16,900.60

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Solution

The fourth proportional to 29,647.65, 40,914.72 and 16,900.60 is: 23,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.65 : 40,914.72 = 16,900.60 : x
  2. Step 2: Convert to fraction form
    29,647.65/40,914.72 = 16,900.60/x
  3. Step 3: Cross multiply
    29,647.65x = 40,914.72 × 16,900.60
  4. Step 4: Simplify right side
    29,647.65x = 691,483,214.55
  5. Step 5: Solve for x
    x = 691,483,214.55/29,647.65
  6. Step 6: Final answer
    x = 23,323.38

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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.