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Finding the Fourth Proportional to 32,858, 45,344.10 and 17,954

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Solution

The fourth proportional to 32,858, 45,344.10 and 17,954 is: 24,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858 : 45,344.10 = 17,954 : x
  2. Step 2: Convert to fraction form
    32,858/45,344.10 = 17,954/x
  3. Step 3: Cross multiply
    32,858x = 45,344.10 × 17,954
  4. Step 4: Simplify right side
    32,858x = 814,107,971.40
  5. Step 5: Solve for x
    x = 814,107,971.40/32,858
  6. Step 6: Final answer
    x = 24,776.55

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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.