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Finding the Fourth Proportional to 114,563.70, 171,642.21 and 47,857.02

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Solution

The fourth proportional to 114,563.70, 171,642.21 and 47,857.02 is: 71,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,563.70 : 171,642.21 = 47,857.02 : x
  2. Step 2: Convert to fraction form
    114,563.70/171,642.21 = 47,857.02/x
  3. Step 3: Cross multiply
    114,563.70x = 171,642.21 × 47,857.02
  4. Step 4: Simplify right side
    114,563.70x = 8,214,284,676.81
  5. Step 5: Solve for x
    x = 8,214,284,676.81/114,563.70
  6. Step 6: Final answer
    x = 71,700.59

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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.