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Finding the Fourth Proportional to 114,660, 171,996.48 and 40,788

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Solution

The fourth proportional to 114,660, 171,996.48 and 40,788 is: 61,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,660 : 171,996.48 = 40,788 : x
  2. Step 2: Convert to fraction form
    114,660/171,996.48 = 40,788/x
  3. Step 3: Cross multiply
    114,660x = 171,996.48 × 40,788
  4. Step 4: Simplify right side
    114,660x = 7,015,392,426.24
  5. Step 5: Solve for x
    x = 7,015,392,426.24/114,660
  6. Step 6: Final answer
    x = 61,184.31

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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.