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Finding the Fourth Proportional to 32,241, 44,495.01 and 17,904

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Solution

The fourth proportional to 32,241, 44,495.01 and 17,904 is: 24,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241 : 44,495.01 = 17,904 : x
  2. Step 2: Convert to fraction form
    32,241/44,495.01 = 17,904/x
  3. Step 3: Cross multiply
    32,241x = 44,495.01 × 17,904
  4. Step 4: Simplify right side
    32,241x = 796,638,659.04
  5. Step 5: Solve for x
    x = 796,638,659.04/32,241
  6. Step 6: Final answer
    x = 24,708.87

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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.