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Finding the Fourth Proportional to 114,895.44, 172,323.72 and 31,770

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Solution

The fourth proportional to 114,895.44, 172,323.72 and 31,770 is: 47,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,895.44 : 172,323.72 = 31,770 : x
  2. Step 2: Convert to fraction form
    114,895.44/172,323.72 = 31,770/x
  3. Step 3: Cross multiply
    114,895.44x = 172,323.72 × 31,770
  4. Step 4: Simplify right side
    114,895.44x = 5,474,724,584.40
  5. Step 5: Solve for x
    x = 5,474,724,584.40/114,895.44
  6. Step 6: Final answer
    x = 47,649.62

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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.