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Finding the Fourth Proportional to 31,015.36, 42,845.04 and 24,031.84

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Solution

The fourth proportional to 31,015.36, 42,845.04 and 24,031.84 is: 33,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.36 : 42,845.04 = 24,031.84 : x
  2. Step 2: Convert to fraction form
    31,015.36/42,845.04 = 24,031.84/x
  3. Step 3: Cross multiply
    31,015.36x = 42,845.04 × 24,031.84
  4. Step 4: Simplify right side
    31,015.36x = 1,029,645,146.07
  5. Step 5: Solve for x
    x = 1,029,645,146.07/31,015.36
  6. Step 6: Final answer
    x = 33,197.91

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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.