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Finding the Fourth Proportional to 69,905, 104,821.86 and 23,141

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Solution

The fourth proportional to 69,905, 104,821.86 and 23,141 is: 34,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,905 : 104,821.86 = 23,141 : x
  2. Step 2: Convert to fraction form
    69,905/104,821.86 = 23,141/x
  3. Step 3: Cross multiply
    69,905x = 104,821.86 × 23,141
  4. Step 4: Simplify right side
    69,905x = 2,425,682,662.26
  5. Step 5: Solve for x
    x = 2,425,682,662.26/69,905
  6. Step 6: Final answer
    x = 34,699.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.