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Finding the Fourth Proportional to 65,012.68, 89,723.87 and 39,516.82

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Solution

The fourth proportional to 65,012.68, 89,723.87 and 39,516.82 is: 54,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.68 : 89,723.87 = 39,516.82 : x
  2. Step 2: Convert to fraction form
    65,012.68/89,723.87 = 39,516.82/x
  3. Step 3: Cross multiply
    65,012.68x = 89,723.87 × 39,516.82
  4. Step 4: Simplify right side
    65,012.68x = 3,545,602,020.49
  5. Step 5: Solve for x
    x = 3,545,602,020.49/65,012.68
  6. Step 6: Final answer
    x = 54,537.08

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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.