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Finding the Fourth Proportional to 29,774.42, 41,088.78 and 16,346.54

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Solution

The fourth proportional to 29,774.42, 41,088.78 and 16,346.54 is: 22,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774.42 : 41,088.78 = 16,346.54 : x
  2. Step 2: Convert to fraction form
    29,774.42/41,088.78 = 16,346.54/x
  3. Step 3: Cross multiply
    29,774.42x = 41,088.78 × 16,346.54
  4. Step 4: Simplify right side
    29,774.42x = 671,659,451.42
  5. Step 5: Solve for x
    x = 671,659,451.42/29,774.42
  6. Step 6: Final answer
    x = 22,558.27

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