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Finding the Fourth Proportional to 76,741.92, 115,128.50 and 32,368.83

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Solution

The fourth proportional to 76,741.92, 115,128.50 and 32,368.83 is: 48,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,741.92 : 115,128.50 = 32,368.83 : x
  2. Step 2: Convert to fraction form
    76,741.92/115,128.50 = 32,368.83/x
  3. Step 3: Cross multiply
    76,741.92x = 115,128.50 × 32,368.83
  4. Step 4: Simplify right side
    76,741.92x = 3,726,574,682.81
  5. Step 5: Solve for x
    x = 3,726,574,682.81/76,741.92
  6. Step 6: Final answer
    x = 48,559.83

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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.