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Finding the Fourth Proportional to 114,653.97, 171,986.94 and 34,689.91

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Solution

The fourth proportional to 114,653.97, 171,986.94 and 34,689.91 is: 52,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,653.97 : 171,986.94 = 34,689.91 : x
  2. Step 2: Convert to fraction form
    114,653.97/171,986.94 = 34,689.91/x
  3. Step 3: Cross multiply
    114,653.97x = 171,986.94 × 34,689.91
  4. Step 4: Simplify right side
    114,653.97x = 5,966,211,469.78
  5. Step 5: Solve for x
    x = 5,966,211,469.78/114,653.97
  6. Step 6: Final answer
    x = 52,036.68

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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.