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Finding the Fourth Proportional to 132,739.60, 199,106.84 and 32,900

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Solution

The fourth proportional to 132,739.60, 199,106.84 and 32,900 is: 49,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,739.60 : 199,106.84 = 32,900 : x
  2. Step 2: Convert to fraction form
    132,739.60/199,106.84 = 32,900/x
  3. Step 3: Cross multiply
    132,739.60x = 199,106.84 × 32,900
  4. Step 4: Simplify right side
    132,739.60x = 6,550,615,036
  5. Step 5: Solve for x
    x = 6,550,615,036/132,739.60
  6. Step 6: Final answer
    x = 49,349.37

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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.