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Finding the Fourth Proportional to 104,564.68, 156,846.67 and 29,684.86

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Solution

The fourth proportional to 104,564.68, 156,846.67 and 29,684.86 is: 44,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564.68 : 156,846.67 = 29,684.86 : x
  2. Step 2: Convert to fraction form
    104,564.68/156,846.67 = 29,684.86/x
  3. Step 3: Cross multiply
    104,564.68x = 156,846.67 × 29,684.86
  4. Step 4: Simplify right side
    104,564.68x = 4,655,970,974.09
  5. Step 5: Solve for x
    x = 4,655,970,974.09/104,564.68
  6. Step 6: Final answer
    x = 44,527.19

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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.