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Finding the Fourth Proportional to 27,007, 40,315.09 and 23,332.84

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Solution

The fourth proportional to 27,007, 40,315.09 and 23,332.84 is: 34,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007 : 40,315.09 = 23,332.84 : x
  2. Step 2: Convert to fraction form
    27,007/40,315.09 = 23,332.84/x
  3. Step 3: Cross multiply
    27,007x = 40,315.09 × 23,332.84
  4. Step 4: Simplify right side
    27,007x = 940,665,544.56
  5. Step 5: Solve for x
    x = 940,665,544.56/27,007
  6. Step 6: Final answer
    x = 34,830.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.