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Finding the Fourth Proportional to 41,129.74, 61,720 and 16,165.40

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Solution

The fourth proportional to 41,129.74, 61,720 and 16,165.40 is: 24,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129.74 : 61,720 = 16,165.40 : x
  2. Step 2: Convert to fraction form
    41,129.74/61,720 = 16,165.40/x
  3. Step 3: Cross multiply
    41,129.74x = 61,720 × 16,165.40
  4. Step 4: Simplify right side
    41,129.74x = 997,728,488
  5. Step 5: Solve for x
    x = 997,728,488/41,129.74
  6. Step 6: Final answer
    x = 24,258.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.