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Finding the Fourth Proportional to 34,653.66, 47,823.26 and 19,546.96

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Solution

The fourth proportional to 34,653.66, 47,823.26 and 19,546.96 is: 26,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653.66 : 47,823.26 = 19,546.96 : x
  2. Step 2: Convert to fraction form
    34,653.66/47,823.26 = 19,546.96/x
  3. Step 3: Cross multiply
    34,653.66x = 47,823.26 × 19,546.96
  4. Step 4: Simplify right side
    34,653.66x = 934,799,350.29
  5. Step 5: Solve for x
    x = 934,799,350.29/34,653.66
  6. Step 6: Final answer
    x = 26,975.49

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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.