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Finding the Fourth Proportional to 32,597.73, 48,907.44 and 10,414.26

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Solution

The fourth proportional to 32,597.73, 48,907.44 and 10,414.26 is: 15,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.73 : 48,907.44 = 10,414.26 : x
  2. Step 2: Convert to fraction form
    32,597.73/48,907.44 = 10,414.26/x
  3. Step 3: Cross multiply
    32,597.73x = 48,907.44 × 10,414.26
  4. Step 4: Simplify right side
    32,597.73x = 509,334,796.09
  5. Step 5: Solve for x
    x = 509,334,796.09/32,597.73
  6. Step 6: Final answer
    x = 15,624.85

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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.