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Finding the Fourth Proportional to 36,154.88, 53,986.17 and 31,902.68

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Solution

The fourth proportional to 36,154.88, 53,986.17 and 31,902.68 is: 47,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154.88 : 53,986.17 = 31,902.68 : x
  2. Step 2: Convert to fraction form
    36,154.88/53,986.17 = 31,902.68/x
  3. Step 3: Cross multiply
    36,154.88x = 53,986.17 × 31,902.68
  4. Step 4: Simplify right side
    36,154.88x = 1,722,303,505.94
  5. Step 5: Solve for x
    x = 1,722,303,505.94/36,154.88
  6. Step 6: Final answer
    x = 47,636.82

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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.