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Finding the Fourth Proportional to 111,929.20, 167,893.80 and 38,057.20

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Solution

The fourth proportional to 111,929.20, 167,893.80 and 38,057.20 is: 57,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,929.20 : 167,893.80 = 38,057.20 : x
  2. Step 2: Convert to fraction form
    111,929.20/167,893.80 = 38,057.20/x
  3. Step 3: Cross multiply
    111,929.20x = 167,893.80 × 38,057.20
  4. Step 4: Simplify right side
    111,929.20x = 6,389,567,925.36
  5. Step 5: Solve for x
    x = 6,389,567,925.36/111,929.20
  6. Step 6: Final answer
    x = 57,085.80

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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.