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Finding the Fourth Proportional to 35,982.37, 53,976.29 and 9,687.34

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Solution

The fourth proportional to 35,982.37, 53,976.29 and 9,687.34 is: 14,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.37 : 53,976.29 = 9,687.34 : x
  2. Step 2: Convert to fraction form
    35,982.37/53,976.29 = 9,687.34/x
  3. Step 3: Cross multiply
    35,982.37x = 53,976.29 × 9,687.34
  4. Step 4: Simplify right side
    35,982.37x = 522,886,489.79
  5. Step 5: Solve for x
    x = 522,886,489.79/35,982.37
  6. Step 6: Final answer
    x = 14,531.74

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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.