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Finding the Fourth Proportional to 31,333.50, 43,238.88 and 17,904.24

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Solution

The fourth proportional to 31,333.50, 43,238.88 and 17,904.24 is: 24,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333.50 : 43,238.88 = 17,904.24 : x
  2. Step 2: Convert to fraction form
    31,333.50/43,238.88 = 17,904.24/x
  3. Step 3: Cross multiply
    31,333.50x = 43,238.88 × 17,904.24
  4. Step 4: Simplify right side
    31,333.50x = 774,159,284.85
  5. Step 5: Solve for x
    x = 774,159,284.85/31,333.50
  6. Step 6: Final answer
    x = 24,707.08

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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.