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Finding the Fourth Proportional to 27,450.59, 41,142.68 and 19,643

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Solution

The fourth proportional to 27,450.59, 41,142.68 and 19,643 is: 29,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450.59 : 41,142.68 = 19,643 : x
  2. Step 2: Convert to fraction form
    27,450.59/41,142.68 = 19,643/x
  3. Step 3: Cross multiply
    27,450.59x = 41,142.68 × 19,643
  4. Step 4: Simplify right side
    27,450.59x = 808,165,565.03
  5. Step 5: Solve for x
    x = 808,165,565.03/27,450.59
  6. Step 6: Final answer
    x = 29,440.74

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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.