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Finding the Fourth Proportional to 51,616.24, 71,235.12 and 31,474.24

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Solution

The fourth proportional to 51,616.24, 71,235.12 and 31,474.24 is: 43,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,616.24 : 71,235.12 = 31,474.24 : x
  2. Step 2: Convert to fraction form
    51,616.24/71,235.12 = 31,474.24/x
  3. Step 3: Cross multiply
    51,616.24x = 71,235.12 × 31,474.24
  4. Step 4: Simplify right side
    51,616.24x = 2,242,071,263.31
  5. Step 5: Solve for x
    x = 2,242,071,263.31/51,616.24
  6. Step 6: Final answer
    x = 43,437.32

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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.