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Finding the Fourth Proportional to 32,431.14, 44,754.96 and 17,527.14

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Solution

The fourth proportional to 32,431.14, 44,754.96 and 17,527.14 is: 24,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.14 : 44,754.96 = 17,527.14 : x
  2. Step 2: Convert to fraction form
    32,431.14/44,754.96 = 17,527.14/x
  3. Step 3: Cross multiply
    32,431.14x = 44,754.96 × 17,527.14
  4. Step 4: Simplify right side
    32,431.14x = 784,426,449.61
  5. Step 5: Solve for x
    x = 784,426,449.61/32,431.14
  6. Step 6: Final answer
    x = 24,187.45

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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.