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Finding the Fourth Proportional to 35,106, 52,663.94 and 11,405.96

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Solution

The fourth proportional to 35,106, 52,663.94 and 11,405.96 is: 17,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106 : 52,663.94 = 11,405.96 : x
  2. Step 2: Convert to fraction form
    35,106/52,663.94 = 11,405.96/x
  3. Step 3: Cross multiply
    35,106x = 52,663.94 × 11,405.96
  4. Step 4: Simplify right side
    35,106x = 600,682,793.08
  5. Step 5: Solve for x
    x = 600,682,793.08/35,106
  6. Step 6: Final answer
    x = 17,110.55

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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.