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Finding the Fourth Proportional to 27,970.38, 38,599.02 and 16,033.68

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Solution

The fourth proportional to 27,970.38, 38,599.02 and 16,033.68 is: 22,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.38 : 38,599.02 = 16,033.68 : x
  2. Step 2: Convert to fraction form
    27,970.38/38,599.02 = 16,033.68/x
  3. Step 3: Cross multiply
    27,970.38x = 38,599.02 × 16,033.68
  4. Step 4: Simplify right side
    27,970.38x = 618,884,334.99
  5. Step 5: Solve for x
    x = 618,884,334.99/27,970.38
  6. Step 6: Final answer
    x = 22,126.42

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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.