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Finding the Fourth Proportional to 32,850, 45,333 and 17,946

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Solution

The fourth proportional to 32,850, 45,333 and 17,946 is: 24,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850 : 45,333 = 17,946 : x
  2. Step 2: Convert to fraction form
    32,850/45,333 = 17,946/x
  3. Step 3: Cross multiply
    32,850x = 45,333 × 17,946
  4. Step 4: Simplify right side
    32,850x = 813,546,018
  5. Step 5: Solve for x
    x = 813,546,018/32,850
  6. Step 6: Final answer
    x = 24,765.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.