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Finding the Fourth Proportional to 34,180, 47,168.40 and 19,276

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Solution

The fourth proportional to 34,180, 47,168.40 and 19,276 is: 26,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180 : 47,168.40 = 19,276 : x
  2. Step 2: Convert to fraction form
    34,180/47,168.40 = 19,276/x
  3. Step 3: Cross multiply
    34,180x = 47,168.40 × 19,276
  4. Step 4: Simplify right side
    34,180x = 909,218,078.40
  5. Step 5: Solve for x
    x = 909,218,078.40/34,180
  6. Step 6: Final answer
    x = 26,600.88

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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.