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Finding the Fourth Proportional to 32,014.80, 48,022.20 and 30,632.40

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Solution

The fourth proportional to 32,014.80, 48,022.20 and 30,632.40 is: 45,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.80 : 48,022.20 = 30,632.40 : x
  2. Step 2: Convert to fraction form
    32,014.80/48,022.20 = 30,632.40/x
  3. Step 3: Cross multiply
    32,014.80x = 48,022.20 × 30,632.40
  4. Step 4: Simplify right side
    32,014.80x = 1,471,035,239.28
  5. Step 5: Solve for x
    x = 1,471,035,239.28/32,014.80
  6. Step 6: Final answer
    x = 45,948.60

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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.