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Finding the Fourth Proportional to 34,077.75, 47,026.79 and 18,970.38

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Solution

The fourth proportional to 34,077.75, 47,026.79 and 18,970.38 is: 26,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.75 : 47,026.79 = 18,970.38 : x
  2. Step 2: Convert to fraction form
    34,077.75/47,026.79 = 18,970.38/x
  3. Step 3: Cross multiply
    34,077.75x = 47,026.79 × 18,970.38
  4. Step 4: Simplify right side
    34,077.75x = 892,115,981.63
  5. Step 5: Solve for x
    x = 892,115,981.63/34,077.75
  6. Step 6: Final answer
    x = 26,178.84

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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.