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Finding the Fourth Proportional to 33,465.19, 50,181.63 and 19,428.75

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Solution

The fourth proportional to 33,465.19, 50,181.63 and 19,428.75 is: 29,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.19 : 50,181.63 = 19,428.75 : x
  2. Step 2: Convert to fraction form
    33,465.19/50,181.63 = 19,428.75/x
  3. Step 3: Cross multiply
    33,465.19x = 50,181.63 × 19,428.75
  4. Step 4: Simplify right side
    33,465.19x = 974,966,092.95
  5. Step 5: Solve for x
    x = 974,966,092.95/33,465.19
  6. Step 6: Final answer
    x = 29,133.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.