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Finding the Fourth Proportional to 31,093.41, 42,910.06 and 17,666.93

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Solution

The fourth proportional to 31,093.41, 42,910.06 and 17,666.93 is: 24,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.41 : 42,910.06 = 17,666.93 : x
  2. Step 2: Convert to fraction form
    31,093.41/42,910.06 = 17,666.93/x
  3. Step 3: Cross multiply
    31,093.41x = 42,910.06 × 17,666.93
  4. Step 4: Simplify right side
    31,093.41x = 758,089,122.55
  5. Step 5: Solve for x
    x = 758,089,122.55/31,093.41
  6. Step 6: Final answer
    x = 24,381.02

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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.