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Finding the Fourth Proportional to 51,817.64, 71,513.88 and 31,686.32

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Solution

The fourth proportional to 51,817.64, 71,513.88 and 31,686.32 is: 43,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817.64 : 71,513.88 = 31,686.32 : x
  2. Step 2: Convert to fraction form
    51,817.64/71,513.88 = 31,686.32/x
  3. Step 3: Cross multiply
    51,817.64x = 71,513.88 × 31,686.32
  4. Step 4: Simplify right side
    51,817.64x = 2,266,011,686.12
  5. Step 5: Solve for x
    x = 2,266,011,686.12/51,817.64
  6. Step 6: Final answer
    x = 43,730.51

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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.