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Finding the Fourth Proportional to 27,052.65, 40,578.51 and 10,416.30

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Solution

The fourth proportional to 27,052.65, 40,578.51 and 10,416.30 is: 15,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.65 : 40,578.51 = 10,416.30 : x
  2. Step 2: Convert to fraction form
    27,052.65/40,578.51 = 10,416.30/x
  3. Step 3: Cross multiply
    27,052.65x = 40,578.51 × 10,416.30
  4. Step 4: Simplify right side
    27,052.65x = 422,677,933.71
  5. Step 5: Solve for x
    x = 422,677,933.71/27,052.65
  6. Step 6: Final answer
    x = 15,624.27

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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.