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Finding the Fourth Proportional to 49,577.40, 74,414.70 and 24,645.60

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Solution

The fourth proportional to 49,577.40, 74,414.70 and 24,645.60 is: 36,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577.40 : 74,414.70 = 24,645.60 : x
  2. Step 2: Convert to fraction form
    49,577.40/74,414.70 = 24,645.60/x
  3. Step 3: Cross multiply
    49,577.40x = 74,414.70 × 24,645.60
  4. Step 4: Simplify right side
    49,577.40x = 1,833,994,930.32
  5. Step 5: Solve for x
    x = 1,833,994,930.32/49,577.40
  6. Step 6: Final answer
    x = 36,992.56

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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.