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Finding the Fourth Proportional to 111,833, 167,749.50 and 28,727

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Solution

The fourth proportional to 111,833, 167,749.50 and 28,727 is: 43,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,833 : 167,749.50 = 28,727 : x
  2. Step 2: Convert to fraction form
    111,833/167,749.50 = 28,727/x
  3. Step 3: Cross multiply
    111,833x = 167,749.50 × 28,727
  4. Step 4: Simplify right side
    111,833x = 4,818,939,886.50
  5. Step 5: Solve for x
    x = 4,818,939,886.50/111,833
  6. Step 6: Final answer
    x = 43,090.50

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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.