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Finding the Fourth Proportional to 27,136.35, 40,711.50 and 10,492.05

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Solution

The fourth proportional to 27,136.35, 40,711.50 and 10,492.05 is: 15,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.35 : 40,711.50 = 10,492.05 : x
  2. Step 2: Convert to fraction form
    27,136.35/40,711.50 = 10,492.05/x
  3. Step 3: Cross multiply
    27,136.35x = 40,711.50 × 10,492.05
  4. Step 4: Simplify right side
    27,136.35x = 427,147,093.58
  5. Step 5: Solve for x
    x = 427,147,093.58/27,136.35
  6. Step 6: Final answer
    x = 15,740.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.