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Finding the Fourth Proportional to 57,112.40, 78,813.42 and 31,619.90

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Solution

The fourth proportional to 57,112.40, 78,813.42 and 31,619.90 is: 43,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.40 : 78,813.42 = 31,619.90 : x
  2. Step 2: Convert to fraction form
    57,112.40/78,813.42 = 31,619.90/x
  3. Step 3: Cross multiply
    57,112.40x = 78,813.42 × 31,619.90
  4. Step 4: Simplify right side
    57,112.40x = 2,492,072,459.06
  5. Step 5: Solve for x
    x = 2,492,072,459.06/57,112.40
  6. Step 6: Final answer
    x = 43,634.53

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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.