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Finding the Fourth Proportional to 34,070.24, 47,016.46 and 19,732

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Solution

The fourth proportional to 34,070.24, 47,016.46 and 19,732 is: 27,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070.24 : 47,016.46 = 19,732 : x
  2. Step 2: Convert to fraction form
    34,070.24/47,016.46 = 19,732/x
  3. Step 3: Cross multiply
    34,070.24x = 47,016.46 × 19,732
  4. Step 4: Simplify right side
    34,070.24x = 927,728,788.72
  5. Step 5: Solve for x
    x = 927,728,788.72/34,070.24
  6. Step 6: Final answer
    x = 27,229.89

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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.