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Finding the Fourth Proportional to 31,999.36, 44,158.86 and 17,852.16

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Solution

The fourth proportional to 31,999.36, 44,158.86 and 17,852.16 is: 24,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.36 : 44,158.86 = 17,852.16 : x
  2. Step 2: Convert to fraction form
    31,999.36/44,158.86 = 17,852.16/x
  3. Step 3: Cross multiply
    31,999.36x = 44,158.86 × 17,852.16
  4. Step 4: Simplify right side
    31,999.36x = 788,331,034.14
  5. Step 5: Solve for x
    x = 788,331,034.14/31,999.36
  6. Step 6: Final answer
    x = 24,635.84

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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.