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Finding the Fourth Proportional to 31,575.54, 43,590 and 19,642.72

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Solution

The fourth proportional to 31,575.54, 43,590 and 19,642.72 is: 27,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.54 : 43,590 = 19,642.72 : x
  2. Step 2: Convert to fraction form
    31,575.54/43,590 = 19,642.72/x
  3. Step 3: Cross multiply
    31,575.54x = 43,590 × 19,642.72
  4. Step 4: Simplify right side
    31,575.54x = 856,226,164.80
  5. Step 5: Solve for x
    x = 856,226,164.80/31,575.54
  6. Step 6: Final answer
    x = 27,116.75

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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.