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Finding the Fourth Proportional to 57,112.25, 78,812.01 and 31,270.11

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Solution

The fourth proportional to 57,112.25, 78,812.01 and 31,270.11 is: 43,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.25 : 78,812.01 = 31,270.11 : x
  2. Step 2: Convert to fraction form
    57,112.25/78,812.01 = 31,270.11/x
  3. Step 3: Cross multiply
    57,112.25x = 78,812.01 × 31,270.11
  4. Step 4: Simplify right side
    57,112.25x = 2,464,460,222.02
  5. Step 5: Solve for x
    x = 2,464,460,222.02/57,112.25
  6. Step 6: Final answer
    x = 43,151.17

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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.