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Finding the Fourth Proportional to 33,053.87, 45,614.34 and 17,946.46

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Solution

The fourth proportional to 33,053.87, 45,614.34 and 17,946.46 is: 24,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.87 : 45,614.34 = 17,946.46 : x
  2. Step 2: Convert to fraction form
    33,053.87/45,614.34 = 17,946.46/x
  3. Step 3: Cross multiply
    33,053.87x = 45,614.34 × 17,946.46
  4. Step 4: Simplify right side
    33,053.87x = 818,615,985.25
  5. Step 5: Solve for x
    x = 818,615,985.25/33,053.87
  6. Step 6: Final answer
    x = 24,766.11

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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.