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Finding the Fourth Proportional to 31,903.36, 47,802.37 and 18,538.83

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Solution

The fourth proportional to 31,903.36, 47,802.37 and 18,538.83 is: 27,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.36 : 47,802.37 = 18,538.83 : x
  2. Step 2: Convert to fraction form
    31,903.36/47,802.37 = 18,538.83/x
  3. Step 3: Cross multiply
    31,903.36x = 47,802.37 × 18,538.83
  4. Step 4: Simplify right side
    31,903.36x = 886,200,011.03
  5. Step 5: Solve for x
    x = 886,200,011.03/31,903.36
  6. Step 6: Final answer
    x = 27,777.64

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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.