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Finding the Fourth Proportional to 31,986.68, 47,735.71 and 28,487.48

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Solution

The fourth proportional to 31,986.68, 47,735.71 and 28,487.48 is: 42,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.68 : 47,735.71 = 28,487.48 : x
  2. Step 2: Convert to fraction form
    31,986.68/47,735.71 = 28,487.48/x
  3. Step 3: Cross multiply
    31,986.68x = 47,735.71 × 28,487.48
  4. Step 4: Simplify right side
    31,986.68x = 1,359,870,083.91
  5. Step 5: Solve for x
    x = 1,359,870,083.91/31,986.68
  6. Step 6: Final answer
    x = 42,513.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.