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Finding the Fourth Proportional to 55,072.38, 75,999.61 and 31,199.01

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Solution

The fourth proportional to 55,072.38, 75,999.61 and 31,199.01 is: 43,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,072.38 : 75,999.61 = 31,199.01 : x
  2. Step 2: Convert to fraction form
    55,072.38/75,999.61 = 31,199.01/x
  3. Step 3: Cross multiply
    55,072.38x = 75,999.61 × 31,199.01
  4. Step 4: Simplify right side
    55,072.38x = 2,371,112,346.39
  5. Step 5: Solve for x
    x = 2,371,112,346.39/55,072.38
  6. Step 6: Final answer
    x = 43,054.47

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Why These Related Problems?

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