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Finding the Fourth Proportional to 55,013.40, 75,918.72 and 31,144.68

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Solution

The fourth proportional to 55,013.40, 75,918.72 and 31,144.68 is: 42,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,013.40 : 75,918.72 = 31,144.68 : x
  2. Step 2: Convert to fraction form
    55,013.40/75,918.72 = 31,144.68/x
  3. Step 3: Cross multiply
    55,013.40x = 75,918.72 × 31,144.68
  4. Step 4: Simplify right side
    55,013.40x = 2,364,464,240.41
  5. Step 5: Solve for x
    x = 2,364,464,240.41/55,013.40
  6. Step 6: Final answer
    x = 42,979.79

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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.