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Finding the Fourth Proportional to 29,653.50, 40,921.86 and 17,078.28

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Solution

The fourth proportional to 29,653.50, 40,921.86 and 17,078.28 is: 23,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653.50 : 40,921.86 = 17,078.28 : x
  2. Step 2: Convert to fraction form
    29,653.50/40,921.86 = 17,078.28/x
  3. Step 3: Cross multiply
    29,653.50x = 40,921.86 × 17,078.28
  4. Step 4: Simplify right side
    29,653.50x = 698,874,983.20
  5. Step 5: Solve for x
    x = 698,874,983.20/29,653.50
  6. Step 6: Final answer
    x = 23,568.04

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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.