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Finding the Fourth Proportional to 31,994.56, 44,152.64 and 17,848

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Solution

The fourth proportional to 31,994.56, 44,152.64 and 17,848 is: 24,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.56 : 44,152.64 = 17,848 : x
  2. Step 2: Convert to fraction form
    31,994.56/44,152.64 = 17,848/x
  3. Step 3: Cross multiply
    31,994.56x = 44,152.64 × 17,848
  4. Step 4: Simplify right side
    31,994.56x = 788,036,318.72
  5. Step 5: Solve for x
    x = 788,036,318.72/31,994.56
  6. Step 6: Final answer
    x = 24,630.32

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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.