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Finding the Fourth Proportional to 34,086.38, 47,038.83 and 18,978.71

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Solution

The fourth proportional to 34,086.38, 47,038.83 and 18,978.71 is: 26,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.38 : 47,038.83 = 18,978.71 : x
  2. Step 2: Convert to fraction form
    34,086.38/47,038.83 = 18,978.71/x
  3. Step 3: Cross multiply
    34,086.38x = 47,038.83 × 18,978.71
  4. Step 4: Simplify right side
    34,086.38x = 892,736,313.31
  5. Step 5: Solve for x
    x = 892,736,313.31/34,086.38
  6. Step 6: Final answer
    x = 26,190.41

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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.