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Finding the Fourth Proportional to 35,637.84, 53,478.09 and 14,286.78

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Solution

The fourth proportional to 35,637.84, 53,478.09 and 14,286.78 is: 21,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637.84 : 53,478.09 = 14,286.78 : x
  2. Step 2: Convert to fraction form
    35,637.84/53,478.09 = 14,286.78/x
  3. Step 3: Cross multiply
    35,637.84x = 53,478.09 × 14,286.78
  4. Step 4: Simplify right side
    35,637.84x = 764,029,706.65
  5. Step 5: Solve for x
    x = 764,029,706.65/35,637.84
  6. Step 6: Final answer
    x = 21,438.72

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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.