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Finding the Fourth Proportional to 31,288.32, 43,178.52 and 17,140.32

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Solution

The fourth proportional to 31,288.32, 43,178.52 and 17,140.32 is: 23,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.32 : 43,178.52 = 17,140.32 : x
  2. Step 2: Convert to fraction form
    31,288.32/43,178.52 = 17,140.32/x
  3. Step 3: Cross multiply
    31,288.32x = 43,178.52 × 17,140.32
  4. Step 4: Simplify right side
    31,288.32x = 740,093,649.93
  5. Step 5: Solve for x
    x = 740,093,649.93/31,288.32
  6. Step 6: Final answer
    x = 23,653.99

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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.