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Finding the Fourth Proportional to 111,991.64, 167,985.35 and 27,752.00

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Solution

The fourth proportional to 111,991.64, 167,985.35 and 27,752.00 is: 41,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,991.64 : 167,985.35 = 27,752.00 : x
  2. Step 2: Convert to fraction form
    111,991.64/167,985.35 = 27,752.00/x
  3. Step 3: Cross multiply
    111,991.64x = 167,985.35 × 27,752.00
  4. Step 4: Simplify right side
    111,991.64x = 4,661,928,454.51
  5. Step 5: Solve for x
    x = 4,661,928,454.51/111,991.64
  6. Step 6: Final answer
    x = 41,627.47

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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.