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Finding the Fourth Proportional to 49,620, 74,420.13 and 24,308.65

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Solution

The fourth proportional to 49,620, 74,420.13 and 24,308.65 is: 36,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,620 : 74,420.13 = 24,308.65 : x
  2. Step 2: Convert to fraction form
    49,620/74,420.13 = 24,308.65/x
  3. Step 3: Cross multiply
    49,620x = 74,420.13 × 24,308.65
  4. Step 4: Simplify right side
    49,620x = 1,809,052,893.12
  5. Step 5: Solve for x
    x = 1,809,052,893.12/49,620
  6. Step 6: Final answer
    x = 36,458.14

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Why These Related Problems?

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