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Finding the Fourth Proportional to 29,109.66, 43,650.66 and 13,310

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Solution

The fourth proportional to 29,109.66, 43,650.66 and 13,310 is: 19,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,109.66 : 43,650.66 = 13,310 : x
  2. Step 2: Convert to fraction form
    29,109.66/43,650.66 = 13,310/x
  3. Step 3: Cross multiply
    29,109.66x = 43,650.66 × 13,310
  4. Step 4: Simplify right side
    29,109.66x = 580,990,284.60
  5. Step 5: Solve for x
    x = 580,990,284.60/29,109.66
  6. Step 6: Final answer
    x = 19,958.68

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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.