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Finding the Fourth Proportional to 114,950.97, 172,426.52 and 31,844.97

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Solution

The fourth proportional to 114,950.97, 172,426.52 and 31,844.97 is: 47,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,950.97 : 172,426.52 = 31,844.97 : x
  2. Step 2: Convert to fraction form
    114,950.97/172,426.52 = 31,844.97/x
  3. Step 3: Cross multiply
    114,950.97x = 172,426.52 × 31,844.97
  4. Step 4: Simplify right side
    114,950.97x = 5,490,917,436.22
  5. Step 5: Solve for x
    x = 5,490,917,436.22/114,950.97
  6. Step 6: Final answer
    x = 47,767.47

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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.