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Finding the Fourth Proportional to 31,557.58, 43,548.17 and 17,410.41

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Solution

The fourth proportional to 31,557.58, 43,548.17 and 17,410.41 is: 24,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.58 : 43,548.17 = 17,410.41 : x
  2. Step 2: Convert to fraction form
    31,557.58/43,548.17 = 17,410.41/x
  3. Step 3: Cross multiply
    31,557.58x = 43,548.17 × 17,410.41
  4. Step 4: Simplify right side
    31,557.58x = 758,191,407.40
  5. Step 5: Solve for x
    x = 758,191,407.40/31,557.58
  6. Step 6: Final answer
    x = 24,025.65

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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.