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Finding the Fourth Proportional to 81,431.06, 112,381.44 and 45,629.06

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Solution

The fourth proportional to 81,431.06, 112,381.44 and 45,629.06 is: 62,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,431.06 : 112,381.44 = 45,629.06 : x
  2. Step 2: Convert to fraction form
    81,431.06/112,381.44 = 45,629.06/x
  3. Step 3: Cross multiply
    81,431.06x = 112,381.44 × 45,629.06
  4. Step 4: Simplify right side
    81,431.06x = 5,127,859,468.65
  5. Step 5: Solve for x
    x = 5,127,859,468.65/81,431.06
  6. Step 6: Final answer
    x = 62,971.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.