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Finding the Fourth Proportional to 111,564.06, 167,346.12 and 28,458.06

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Solution

The fourth proportional to 111,564.06, 167,346.12 and 28,458.06 is: 42,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,564.06 : 167,346.12 = 28,458.06 : x
  2. Step 2: Convert to fraction form
    111,564.06/167,346.12 = 28,458.06/x
  3. Step 3: Cross multiply
    111,564.06x = 167,346.12 × 28,458.06
  4. Step 4: Simplify right side
    111,564.06x = 4,762,345,923.73
  5. Step 5: Solve for x
    x = 4,762,345,923.73/111,564.06
  6. Step 6: Final answer
    x = 42,687.10

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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.