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Finding the Fourth Proportional to 114,796.88, 172,205.24 and 31,690.88

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Solution

The fourth proportional to 114,796.88, 172,205.24 and 31,690.88 is: 47,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,796.88 : 172,205.24 = 31,690.88 : x
  2. Step 2: Convert to fraction form
    114,796.88/172,205.24 = 31,690.88/x
  3. Step 3: Cross multiply
    114,796.88x = 172,205.24 × 31,690.88
  4. Step 4: Simplify right side
    114,796.88x = 5,457,335,596.21
  5. Step 5: Solve for x
    x = 5,457,335,596.21/114,796.88
  6. Step 6: Final answer
    x = 47,539.06

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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.