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Finding the Fourth Proportional to 53,010.50, 73,165.12 and 31,496.10

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Solution

The fourth proportional to 53,010.50, 73,165.12 and 31,496.10 is: 43,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,010.50 : 73,165.12 = 31,496.10 : x
  2. Step 2: Convert to fraction form
    53,010.50/73,165.12 = 31,496.10/x
  3. Step 3: Cross multiply
    53,010.50x = 73,165.12 × 31,496.10
  4. Step 4: Simplify right side
    53,010.50x = 2,304,415,936.03
  5. Step 5: Solve for x
    x = 2,304,415,936.03/53,010.50
  6. Step 6: Final answer
    x = 43,470.93

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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.