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Finding the Fourth Proportional to 32,742.46, 48,805.03 and 31,080.34

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Solution

The fourth proportional to 32,742.46, 48,805.03 and 31,080.34 is: 46,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.46 : 48,805.03 = 31,080.34 : x
  2. Step 2: Convert to fraction form
    32,742.46/48,805.03 = 31,080.34/x
  3. Step 3: Cross multiply
    32,742.46x = 48,805.03 × 31,080.34
  4. Step 4: Simplify right side
    32,742.46x = 1,516,876,926.11
  5. Step 5: Solve for x
    x = 1,516,876,926.11/32,742.46
  6. Step 6: Final answer
    x = 46,327.52

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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.