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Finding the Fourth Proportional to 34,164.96, 47,148 and 19,059

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Solution

The fourth proportional to 34,164.96, 47,148 and 19,059 is: 26,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.96 : 47,148 = 19,059 : x
  2. Step 2: Convert to fraction form
    34,164.96/47,148 = 19,059/x
  3. Step 3: Cross multiply
    34,164.96x = 47,148 × 19,059
  4. Step 4: Simplify right side
    34,164.96x = 898,593,732
  5. Step 5: Solve for x
    x = 898,593,732/34,164.96
  6. Step 6: Final answer
    x = 26,301.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.