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Finding the Fourth Proportional to 34,156, 47,143.92 and 19,260.64

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Solution

The fourth proportional to 34,156, 47,143.92 and 19,260.64 is: 26,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156 : 47,143.92 = 19,260.64 : x
  2. Step 2: Convert to fraction form
    34,156/47,143.92 = 19,260.64/x
  3. Step 3: Cross multiply
    34,156x = 47,143.92 × 19,260.64
  4. Step 4: Simplify right side
    34,156x = 908,022,071.31
  5. Step 5: Solve for x
    x = 908,022,071.31/34,156
  6. Step 6: Final answer
    x = 26,584.56

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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.