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Finding the Fourth Proportional to 29,765.96, 41,078.18 and 16,337.76

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Solution

The fourth proportional to 29,765.96, 41,078.18 and 16,337.76 is: 22,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.96 : 41,078.18 = 16,337.76 : x
  2. Step 2: Convert to fraction form
    29,765.96/41,078.18 = 16,337.76/x
  3. Step 3: Cross multiply
    29,765.96x = 41,078.18 × 16,337.76
  4. Step 4: Simplify right side
    29,765.96x = 671,125,446.08
  5. Step 5: Solve for x
    x = 671,125,446.08/29,765.96
  6. Step 6: Final answer
    x = 22,546.74

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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.