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Finding the Fourth Proportional to 77,186, 106,516.68 and 41,858

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Solution

The fourth proportional to 77,186, 106,516.68 and 41,858 is: 57,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,186 : 106,516.68 = 41,858 : x
  2. Step 2: Convert to fraction form
    77,186/106,516.68 = 41,858/x
  3. Step 3: Cross multiply
    77,186x = 106,516.68 × 41,858
  4. Step 4: Simplify right side
    77,186x = 4,458,575,191.44
  5. Step 5: Solve for x
    x = 4,458,575,191.44/77,186
  6. Step 6: Final answer
    x = 57,764.04

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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.