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Finding the Fourth Proportional to 29,823, 41,155.82 and 16,575

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Solution

The fourth proportional to 29,823, 41,155.82 and 16,575 is: 22,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 41,155.82 = 16,575 : x
  2. Step 2: Convert to fraction form
    29,823/41,155.82 = 16,575/x
  3. Step 3: Cross multiply
    29,823x = 41,155.82 × 16,575
  4. Step 4: Simplify right side
    29,823x = 682,157,716.50
  5. Step 5: Solve for x
    x = 682,157,716.50/29,823
  6. Step 6: Final answer
    x = 22,873.54

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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.