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Finding the Fourth Proportional to 32,022.76, 48,021.66 and 12,025.96

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Solution

The fourth proportional to 32,022.76, 48,021.66 and 12,025.96 is: 18,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.76 : 48,021.66 = 12,025.96 : x
  2. Step 2: Convert to fraction form
    32,022.76/48,021.66 = 12,025.96/x
  3. Step 3: Cross multiply
    32,022.76x = 48,021.66 × 12,025.96
  4. Step 4: Simplify right side
    32,022.76x = 577,506,562.29
  5. Step 5: Solve for x
    x = 577,506,562.29/32,022.76
  6. Step 6: Final answer
    x = 18,034.25

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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.