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Finding the Fourth Proportional to 105,887.64, 158,835.75 and 27,003.90

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Solution

The fourth proportional to 105,887.64, 158,835.75 and 27,003.90 is: 40,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887.64 : 158,835.75 = 27,003.90 : x
  2. Step 2: Convert to fraction form
    105,887.64/158,835.75 = 27,003.90/x
  3. Step 3: Cross multiply
    105,887.64x = 158,835.75 × 27,003.90
  4. Step 4: Simplify right side
    105,887.64x = 4,289,184,709.43
  5. Step 5: Solve for x
    x = 4,289,184,709.43/105,887.64
  6. Step 6: Final answer
    x = 40,506.94

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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.