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Finding the Fourth Proportional to 34,188.81, 47,176.39 and 19,082.31

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Solution

The fourth proportional to 34,188.81, 47,176.39 and 19,082.31 is: 26,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.81 : 47,176.39 = 19,082.31 : x
  2. Step 2: Convert to fraction form
    34,188.81/47,176.39 = 19,082.31/x
  3. Step 3: Cross multiply
    34,188.81x = 47,176.39 × 19,082.31
  4. Step 4: Simplify right side
    34,188.81x = 900,234,498.66
  5. Step 5: Solve for x
    x = 900,234,498.66/34,188.81
  6. Step 6: Final answer
    x = 26,331.26

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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.