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Finding the Fourth Proportional to 32,873, 45,364.74 and 17,969

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Solution

The fourth proportional to 32,873, 45,364.74 and 17,969 is: 24,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873 : 45,364.74 = 17,969 : x
  2. Step 2: Convert to fraction form
    32,873/45,364.74 = 17,969/x
  3. Step 3: Cross multiply
    32,873x = 45,364.74 × 17,969
  4. Step 4: Simplify right side
    32,873x = 815,159,013.06
  5. Step 5: Solve for x
    x = 815,159,013.06/32,873
  6. Step 6: Final answer
    x = 24,797.22

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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.