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Finding the Fourth Proportional to 85,675.57, 128,544.10 and 38,286.69

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Solution

The fourth proportional to 85,675.57, 128,544.10 and 38,286.69 is: 57,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,675.57 : 128,544.10 = 38,286.69 : x
  2. Step 2: Convert to fraction form
    85,675.57/128,544.10 = 38,286.69/x
  3. Step 3: Cross multiply
    85,675.57x = 128,544.10 × 38,286.69
  4. Step 4: Simplify right side
    85,675.57x = 4,921,528,012.31
  5. Step 5: Solve for x
    x = 4,921,528,012.31/85,675.57
  6. Step 6: Final answer
    x = 57,443.77

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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.