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Finding the Fourth Proportional to 111,708.63, 167,575.26 and 32,829

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Solution

The fourth proportional to 111,708.63, 167,575.26 and 32,829 is: 49,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,708.63 : 167,575.26 = 32,829 : x
  2. Step 2: Convert to fraction form
    111,708.63/167,575.26 = 32,829/x
  3. Step 3: Cross multiply
    111,708.63x = 167,575.26 × 32,829
  4. Step 4: Simplify right side
    111,708.63x = 5,501,328,210.54
  5. Step 5: Solve for x
    x = 5,501,328,210.54/111,708.63
  6. Step 6: Final answer
    x = 49,247.12

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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.