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Finding the Fourth Proportional to 31,577.94, 43,575.03 and 17,428.86

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Solution

The fourth proportional to 31,577.94, 43,575.03 and 17,428.86 is: 24,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.94 : 43,575.03 = 17,428.86 : x
  2. Step 2: Convert to fraction form
    31,577.94/43,575.03 = 17,428.86/x
  3. Step 3: Cross multiply
    31,577.94x = 43,575.03 × 17,428.86
  4. Step 4: Simplify right side
    31,577.94x = 759,463,097.37
  5. Step 5: Solve for x
    x = 759,463,097.37/31,577.94
  6. Step 6: Final answer
    x = 24,050.43

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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.