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Finding the Fourth Proportional to 29,464, 40,659.96 and 17,527.12

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Solution

The fourth proportional to 29,464, 40,659.96 and 17,527.12 is: 24,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464 : 40,659.96 = 17,527.12 : x
  2. Step 2: Convert to fraction form
    29,464/40,659.96 = 17,527.12/x
  3. Step 3: Cross multiply
    29,464x = 40,659.96 × 17,527.12
  4. Step 4: Simplify right side
    29,464x = 712,651,998.12
  5. Step 5: Solve for x
    x = 712,651,998.12/29,464
  6. Step 6: Final answer
    x = 24,187.21

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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.