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Finding the Fourth Proportional to 111,708.12, 167,574.50 and 32,828.50

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Solution

The fourth proportional to 111,708.12, 167,574.50 and 32,828.50 is: 49,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,708.12 : 167,574.50 = 32,828.50 : x
  2. Step 2: Convert to fraction form
    111,708.12/167,574.50 = 32,828.50/x
  3. Step 3: Cross multiply
    111,708.12x = 167,574.50 × 32,828.50
  4. Step 4: Simplify right side
    111,708.12x = 5,501,219,473.25
  5. Step 5: Solve for x
    x = 5,501,219,473.25/111,708.12
  6. Step 6: Final answer
    x = 49,246.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.