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Finding the Fourth Proportional to 27,491.52, 37,947.24 and 16,160.82

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Solution

The fourth proportional to 27,491.52, 37,947.24 and 16,160.82 is: 22,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.52 : 37,947.24 = 16,160.82 : x
  2. Step 2: Convert to fraction form
    27,491.52/37,947.24 = 16,160.82/x
  3. Step 3: Cross multiply
    27,491.52x = 37,947.24 × 16,160.82
  4. Step 4: Simplify right side
    27,491.52x = 613,258,515.14
  5. Step 5: Solve for x
    x = 613,258,515.14/27,491.52
  6. Step 6: Final answer
    x = 22,307.19

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1.5x scale

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.