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Finding the Fourth Proportional to 27,160, 37,480.78 and 16,549.68

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Solution

The fourth proportional to 27,160, 37,480.78 and 16,549.68 is: 22,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160 : 37,480.78 = 16,549.68 : x
  2. Step 2: Convert to fraction form
    27,160/37,480.78 = 16,549.68/x
  3. Step 3: Cross multiply
    27,160x = 37,480.78 × 16,549.68
  4. Step 4: Simplify right side
    27,160x = 620,294,915.15
  5. Step 5: Solve for x
    x = 620,294,915.15/27,160
  6. Step 6: Final answer
    x = 22,838.55

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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.