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Finding the Fourth Proportional to 32,406.20, 44,708.28 and 20,465

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Solution

The fourth proportional to 32,406.20, 44,708.28 and 20,465 is: 28,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.20 : 44,708.28 = 20,465 : x
  2. Step 2: Convert to fraction form
    32,406.20/44,708.28 = 20,465/x
  3. Step 3: Cross multiply
    32,406.20x = 44,708.28 × 20,465
  4. Step 4: Simplify right side
    32,406.20x = 914,954,950.20
  5. Step 5: Solve for x
    x = 914,954,950.20/32,406.20
  6. Step 6: Final answer
    x = 28,233.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.