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Finding the Fourth Proportional to 49,827.96, 74,762.19 and 20,248.11

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Solution

The fourth proportional to 49,827.96, 74,762.19 and 20,248.11 is: 30,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827.96 : 74,762.19 = 20,248.11 : x
  2. Step 2: Convert to fraction form
    49,827.96/74,762.19 = 20,248.11/x
  3. Step 3: Cross multiply
    49,827.96x = 74,762.19 × 20,248.11
  4. Step 4: Simplify right side
    49,827.96x = 1,513,793,046.96
  5. Step 5: Solve for x
    x = 1,513,793,046.96/49,827.96
  6. Step 6: Final answer
    x = 30,380.39

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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.