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Finding the Fourth Proportional to 36,153.88, 53,984.68 and 31,901.68

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Solution

The fourth proportional to 36,153.88, 53,984.68 and 31,901.68 is: 47,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.88 : 53,984.68 = 31,901.68 : x
  2. Step 2: Convert to fraction form
    36,153.88/53,984.68 = 31,901.68/x
  3. Step 3: Cross multiply
    36,153.88x = 53,984.68 × 31,901.68
  4. Step 4: Simplify right side
    36,153.88x = 1,722,201,986.26
  5. Step 5: Solve for x
    x = 1,722,201,986.26/36,153.88
  6. Step 6: Final answer
    x = 47,635.33

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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.