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Finding the Fourth Proportional to 34,180.12, 47,163.76 and 19,071

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Solution

The fourth proportional to 34,180.12, 47,163.76 and 19,071 is: 26,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180.12 : 47,163.76 = 19,071 : x
  2. Step 2: Convert to fraction form
    34,180.12/47,163.76 = 19,071/x
  3. Step 3: Cross multiply
    34,180.12x = 47,163.76 × 19,071
  4. Step 4: Simplify right side
    34,180.12x = 899,460,066.96
  5. Step 5: Solve for x
    x = 899,460,066.96/34,180.12
  6. Step 6: Final answer
    x = 26,315.30

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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.