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Finding the Fourth Proportional to 49,902.60, 74,788.90 and 20,285.84

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Solution

The fourth proportional to 49,902.60, 74,788.90 and 20,285.84 is: 30,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.60 : 74,788.90 = 20,285.84 : x
  2. Step 2: Convert to fraction form
    49,902.60/74,788.90 = 20,285.84/x
  3. Step 3: Cross multiply
    49,902.60x = 74,788.90 × 20,285.84
  4. Step 4: Simplify right side
    49,902.60x = 1,517,155,659.18
  5. Step 5: Solve for x
    x = 1,517,155,659.18/49,902.60
  6. Step 6: Final answer
    x = 30,402.34

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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.