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Finding the Fourth Proportional to 32,869, 45,359.24 and 17,965

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Solution

The fourth proportional to 32,869, 45,359.24 and 17,965 is: 24,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,869 : 45,359.24 = 17,965 : x
  2. Step 2: Convert to fraction form
    32,869/45,359.24 = 17,965/x
  3. Step 3: Cross multiply
    32,869x = 45,359.24 × 17,965
  4. Step 4: Simplify right side
    32,869x = 814,878,746.60
  5. Step 5: Solve for x
    x = 814,878,746.60/32,869
  6. Step 6: Final answer
    x = 24,791.71

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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.