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Finding the Fourth Proportional to 27,295.38, 37,665 and 16,695.72

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Solution

The fourth proportional to 27,295.38, 37,665 and 16,695.72 is: 23,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.38 : 37,665 = 16,695.72 : x
  2. Step 2: Convert to fraction form
    27,295.38/37,665 = 16,695.72/x
  3. Step 3: Cross multiply
    27,295.38x = 37,665 × 16,695.72
  4. Step 4: Simplify right side
    27,295.38x = 628,844,293.80
  5. Step 5: Solve for x
    x = 628,844,293.80/27,295.38
  6. Step 6: Final answer
    x = 23,038.49

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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.