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Finding the Fourth Proportional to 29,658.64, 40,943.74 and 17,080.96

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Solution

The fourth proportional to 29,658.64, 40,943.74 and 17,080.96 is: 23,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.64 : 40,943.74 = 17,080.96 : x
  2. Step 2: Convert to fraction form
    29,658.64/40,943.74 = 17,080.96/x
  3. Step 3: Cross multiply
    29,658.64x = 40,943.74 × 17,080.96
  4. Step 4: Simplify right side
    29,658.64x = 699,358,385.19
  5. Step 5: Solve for x
    x = 699,358,385.19/29,658.64
  6. Step 6: Final answer
    x = 23,580.26

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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.