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Finding the Fourth Proportional to 31,096.80, 42,914.73 and 17,670.32

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Solution

The fourth proportional to 31,096.80, 42,914.73 and 17,670.32 is: 24,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.80 : 42,914.73 = 17,670.32 : x
  2. Step 2: Convert to fraction form
    31,096.80/42,914.73 = 17,670.32/x
  3. Step 3: Cross multiply
    31,096.80x = 42,914.73 × 17,670.32
  4. Step 4: Simplify right side
    31,096.80x = 758,316,797.24
  5. Step 5: Solve for x
    x = 758,316,797.24/31,096.80
  6. Step 6: Final answer
    x = 24,385.69

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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.