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Finding the Fourth Proportional to 104,066, 156,093.50 and 29,191.34

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Solution

The fourth proportional to 104,066, 156,093.50 and 29,191.34 is: 43,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066 : 156,093.50 = 29,191.34 : x
  2. Step 2: Convert to fraction form
    104,066/156,093.50 = 29,191.34/x
  3. Step 3: Cross multiply
    104,066x = 156,093.50 × 29,191.34
  4. Step 4: Simplify right side
    104,066x = 4,556,578,430.29
  5. Step 5: Solve for x
    x = 4,556,578,430.29/104,066
  6. Step 6: Final answer
    x = 43,785.47

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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.