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Finding the Fourth Proportional to 34,069, 47,015.94 and 19,165

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Solution

The fourth proportional to 34,069, 47,015.94 and 19,165 is: 26,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,069 : 47,015.94 = 19,165 : x
  2. Step 2: Convert to fraction form
    34,069/47,015.94 = 19,165/x
  3. Step 3: Cross multiply
    34,069x = 47,015.94 × 19,165
  4. Step 4: Simplify right side
    34,069x = 901,060,490.10
  5. Step 5: Solve for x
    x = 901,060,490.10/34,069
  6. Step 6: Final answer
    x = 26,448.11

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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.