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Finding the Fourth Proportional to 27,245.16, 40,919.58 and 16,929

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Solution

The fourth proportional to 27,245.16, 40,919.58 and 16,929 is: 25,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.16 : 40,919.58 = 16,929 : x
  2. Step 2: Convert to fraction form
    27,245.16/40,919.58 = 16,929/x
  3. Step 3: Cross multiply
    27,245.16x = 40,919.58 × 16,929
  4. Step 4: Simplify right side
    27,245.16x = 692,727,569.82
  5. Step 5: Solve for x
    x = 692,727,569.82/27,245.16
  6. Step 6: Final answer
    x = 25,425.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.