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Finding the Fourth Proportional to 114,952.97, 172,429.53 and 31,846.97

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Solution

The fourth proportional to 114,952.97, 172,429.53 and 31,846.97 is: 47,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,952.97 : 172,429.53 = 31,846.97 : x
  2. Step 2: Convert to fraction form
    114,952.97/172,429.53 = 31,846.97/x
  3. Step 3: Cross multiply
    114,952.97x = 172,429.53 × 31,846.97
  4. Step 4: Simplify right side
    114,952.97x = 5,491,358,069.02
  5. Step 5: Solve for x
    x = 5,491,358,069.02/114,952.97
  6. Step 6: Final answer
    x = 47,770.48

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1.5x scale

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.