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Finding the Fourth Proportional to 31,675.86, 43,720.56 and 19,753.07

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Solution

The fourth proportional to 31,675.86, 43,720.56 and 19,753.07 is: 27,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.86 : 43,720.56 = 19,753.07 : x
  2. Step 2: Convert to fraction form
    31,675.86/43,720.56 = 19,753.07/x
  3. Step 3: Cross multiply
    31,675.86x = 43,720.56 × 19,753.07
  4. Step 4: Simplify right side
    31,675.86x = 863,615,063.52
  5. Step 5: Solve for x
    x = 863,615,063.52/31,675.86
  6. Step 6: Final answer
    x = 27,264.14

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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.