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Finding the Fourth Proportional to 32,431.68, 44,756.28 and 19,685.16

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Solution

The fourth proportional to 32,431.68, 44,756.28 and 19,685.16 is: 27,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.68 : 44,756.28 = 19,685.16 : x
  2. Step 2: Convert to fraction form
    32,431.68/44,756.28 = 19,685.16/x
  3. Step 3: Cross multiply
    32,431.68x = 44,756.28 × 19,685.16
  4. Step 4: Simplify right side
    32,431.68x = 881,034,532.80
  5. Step 5: Solve for x
    x = 881,034,532.80/32,431.68
  6. Step 6: Final answer
    x = 27,165.86

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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.