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Finding the Fourth Proportional to 85,537.49, 128,313.41 and 31,516.88

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Solution

The fourth proportional to 85,537.49, 128,313.41 and 31,516.88 is: 47,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,537.49 : 128,313.41 = 31,516.88 : x
  2. Step 2: Convert to fraction form
    85,537.49/128,313.41 = 31,516.88/x
  3. Step 3: Cross multiply
    85,537.49x = 128,313.41 × 31,516.88
  4. Step 4: Simplify right side
    85,537.49x = 4,044,037,546.21
  5. Step 5: Solve for x
    x = 4,044,037,546.21/85,537.49
  6. Step 6: Final answer
    x = 47,277.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.