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Finding the Fourth Proportional to 114,073.88, 171,110.81 and 30,967.88

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Solution

The fourth proportional to 114,073.88, 171,110.81 and 30,967.88 is: 46,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.88 : 171,110.81 = 30,967.88 : x
  2. Step 2: Convert to fraction form
    114,073.88/171,110.81 = 30,967.88/x
  3. Step 3: Cross multiply
    114,073.88x = 171,110.81 × 30,967.88
  4. Step 4: Simplify right side
    114,073.88x = 5,298,938,252.65
  5. Step 5: Solve for x
    x = 5,298,938,252.65/114,073.88
  6. Step 6: Final answer
    x = 46,451.81

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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.