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Finding the Fourth Proportional to 31,017.76, 42,785.31 and 27,048.40

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Solution

The fourth proportional to 31,017.76, 42,785.31 and 27,048.40 is: 37,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.76 : 42,785.31 = 27,048.40 : x
  2. Step 2: Convert to fraction form
    31,017.76/42,785.31 = 27,048.40/x
  3. Step 3: Cross multiply
    31,017.76x = 42,785.31 × 27,048.40
  4. Step 4: Simplify right side
    31,017.76x = 1,157,274,179.00
  5. Step 5: Solve for x
    x = 1,157,274,179.00/31,017.76
  6. Step 6: Final answer
    x = 37,310.05

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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.