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Finding the Fourth Proportional to 32,863, 45,350.94 and 17,959

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Solution

The fourth proportional to 32,863, 45,350.94 and 17,959 is: 24,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863 : 45,350.94 = 17,959 : x
  2. Step 2: Convert to fraction form
    32,863/45,350.94 = 17,959/x
  3. Step 3: Cross multiply
    32,863x = 45,350.94 × 17,959
  4. Step 4: Simplify right side
    32,863x = 814,457,531.46
  5. Step 5: Solve for x
    x = 814,457,531.46/32,863
  6. Step 6: Final answer
    x = 24,783.42

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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.