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Finding the Fourth Proportional to 34,162.47, 47,145.39 and 19,821.23

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Solution

The fourth proportional to 34,162.47, 47,145.39 and 19,821.23 is: 27,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.47 : 47,145.39 = 19,821.23 : x
  2. Step 2: Convert to fraction form
    34,162.47/47,145.39 = 19,821.23/x
  3. Step 3: Cross multiply
    34,162.47x = 47,145.39 × 19,821.23
  4. Step 4: Simplify right side
    34,162.47x = 934,479,382.90
  5. Step 5: Solve for x
    x = 934,479,382.90/34,162.47
  6. Step 6: Final answer
    x = 27,353.98

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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.