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Finding the Fourth Proportional to 44,338.14, 61,185.44 and 24,195

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Solution

The fourth proportional to 44,338.14, 61,185.44 and 24,195 is: 33,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,338.14 : 61,185.44 = 24,195 : x
  2. Step 2: Convert to fraction form
    44,338.14/61,185.44 = 24,195/x
  3. Step 3: Cross multiply
    44,338.14x = 61,185.44 × 24,195
  4. Step 4: Simplify right side
    44,338.14x = 1,480,381,720.80
  5. Step 5: Solve for x
    x = 1,480,381,720.80/44,338.14
  6. Step 6: Final answer
    x = 33,388.45

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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.