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Finding the Fourth Proportional to 49,402.10, 74,048.78 and 24,405.14

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Solution

The fourth proportional to 49,402.10, 74,048.78 and 24,405.14 is: 36,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402.10 : 74,048.78 = 24,405.14 : x
  2. Step 2: Convert to fraction form
    49,402.10/74,048.78 = 24,405.14/x
  3. Step 3: Cross multiply
    49,402.10x = 74,048.78 × 24,405.14
  4. Step 4: Simplify right side
    49,402.10x = 1,807,170,842.73
  5. Step 5: Solve for x
    x = 1,807,170,842.73/49,402.10
  6. Step 6: Final answer
    x = 36,580.85

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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.