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Finding the Fourth Proportional to 120,810.96, 181,225.44 and 32,062.50

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Solution

The fourth proportional to 120,810.96, 181,225.44 and 32,062.50 is: 48,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,810.96 : 181,225.44 = 32,062.50 : x
  2. Step 2: Convert to fraction form
    120,810.96/181,225.44 = 32,062.50/x
  3. Step 3: Cross multiply
    120,810.96x = 181,225.44 × 32,062.50
  4. Step 4: Simplify right side
    120,810.96x = 5,810,540,670
  5. Step 5: Solve for x
    x = 5,810,540,670/120,810.96
  6. Step 6: Final answer
    x = 48,096.14

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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.