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Finding the Fourth Proportional to 31,797.65, 43,878.56 and 17,649.38

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Solution

The fourth proportional to 31,797.65, 43,878.56 and 17,649.38 is: 24,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.65 : 43,878.56 = 17,649.38 : x
  2. Step 2: Convert to fraction form
    31,797.65/43,878.56 = 17,649.38/x
  3. Step 3: Cross multiply
    31,797.65x = 43,878.56 × 17,649.38
  4. Step 4: Simplify right side
    31,797.65x = 774,429,071.65
  5. Step 5: Solve for x
    x = 774,429,071.65/31,797.65
  6. Step 6: Final answer
    x = 24,354.92

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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.