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Finding the Fourth Proportional to 32,176.71, 44,405.92 and 17,837.14

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Solution

The fourth proportional to 32,176.71, 44,405.92 and 17,837.14 is: 24,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.71 : 44,405.92 = 17,837.14 : x
  2. Step 2: Convert to fraction form
    32,176.71/44,405.92 = 17,837.14/x
  3. Step 3: Cross multiply
    32,176.71x = 44,405.92 × 17,837.14
  4. Step 4: Simplify right side
    32,176.71x = 792,074,783.84
  5. Step 5: Solve for x
    x = 792,074,783.84/32,176.71
  6. Step 6: Final answer
    x = 24,616.40

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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.