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Finding the Fourth Proportional to 34,142.38, 47,116.68 and 19,036

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Solution

The fourth proportional to 34,142.38, 47,116.68 and 19,036 is: 26,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.38 : 47,116.68 = 19,036 : x
  2. Step 2: Convert to fraction form
    34,142.38/47,116.68 = 19,036/x
  3. Step 3: Cross multiply
    34,142.38x = 47,116.68 × 19,036
  4. Step 4: Simplify right side
    34,142.38x = 896,913,120.48
  5. Step 5: Solve for x
    x = 896,913,120.48/34,142.38
  6. Step 6: Final answer
    x = 26,269.79

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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.