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Finding the Fourth Proportional to 27,096.48, 37,393.71 and 16,341.33

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Solution

The fourth proportional to 27,096.48, 37,393.71 and 16,341.33 is: 22,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096.48 : 37,393.71 = 16,341.33 : x
  2. Step 2: Convert to fraction form
    27,096.48/37,393.71 = 16,341.33/x
  3. Step 3: Cross multiply
    27,096.48x = 37,393.71 × 16,341.33
  4. Step 4: Simplify right side
    27,096.48x = 611,062,955.03
  5. Step 5: Solve for x
    x = 611,062,955.03/27,096.48
  6. Step 6: Final answer
    x = 22,551.38

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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.