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Finding the Fourth Proportional to 114,281.88, 171,421.00 and 31,175.88

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Solution

The fourth proportional to 114,281.88, 171,421.00 and 31,175.88 is: 46,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,281.88 : 171,421.00 = 31,175.88 : x
  2. Step 2: Convert to fraction form
    114,281.88/171,421.00 = 31,175.88/x
  3. Step 3: Cross multiply
    114,281.88x = 171,421.00 × 31,175.88
  4. Step 4: Simplify right side
    114,281.88x = 5,344,200,447.54
  5. Step 5: Solve for x
    x = 5,344,200,447.54/114,281.88
  6. Step 6: Final answer
    x = 46,763.32

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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.