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Finding the Fourth Proportional to 114,951, 172,426.52 and 31,845

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Solution

The fourth proportional to 114,951, 172,426.52 and 31,845 is: 47,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951 : 172,426.52 = 31,845 : x
  2. Step 2: Convert to fraction form
    114,951/172,426.52 = 31,845/x
  3. Step 3: Cross multiply
    114,951x = 172,426.52 × 31,845
  4. Step 4: Simplify right side
    114,951x = 5,490,922,529.40
  5. Step 5: Solve for x
    x = 5,490,922,529.40/114,951
  6. Step 6: Final answer
    x = 47,767.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.