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Finding the Fourth Proportional to 29,543.68, 40,774.62 and 17,614

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Solution

The fourth proportional to 29,543.68, 40,774.62 and 17,614 is: 24,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.68 : 40,774.62 = 17,614 : x
  2. Step 2: Convert to fraction form
    29,543.68/40,774.62 = 17,614/x
  3. Step 3: Cross multiply
    29,543.68x = 40,774.62 × 17,614
  4. Step 4: Simplify right side
    29,543.68x = 718,204,156.68
  5. Step 5: Solve for x
    x = 718,204,156.68/29,543.68
  6. Step 6: Final answer
    x = 24,309.91

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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.