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Finding the Fourth Proportional to 32,605.72, 48,873.26 and 15,977

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Solution

The fourth proportional to 32,605.72, 48,873.26 and 15,977 is: 23,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.72 : 48,873.26 = 15,977 : x
  2. Step 2: Convert to fraction form
    32,605.72/48,873.26 = 15,977/x
  3. Step 3: Cross multiply
    32,605.72x = 48,873.26 × 15,977
  4. Step 4: Simplify right side
    32,605.72x = 780,848,075.02
  5. Step 5: Solve for x
    x = 780,848,075.02/32,605.72
  6. Step 6: Final answer
    x = 23,948.19

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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.