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Finding the Fourth Proportional to 27,136.32, 37,448.19 and 15,200.34

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Solution

The fourth proportional to 27,136.32, 37,448.19 and 15,200.34 is: 20,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.32 : 37,448.19 = 15,200.34 : x
  2. Step 2: Convert to fraction form
    27,136.32/37,448.19 = 15,200.34/x
  3. Step 3: Cross multiply
    27,136.32x = 37,448.19 × 15,200.34
  4. Step 4: Simplify right side
    27,136.32x = 569,225,220.38
  5. Step 5: Solve for x
    x = 569,225,220.38/27,136.32
  6. Step 6: Final answer
    x = 20,976.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.