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Finding the Fourth Proportional to 32,161.16, 48,241.74 and 9,974

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Solution

The fourth proportional to 32,161.16, 48,241.74 and 9,974 is: 14,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.16 : 48,241.74 = 9,974 : x
  2. Step 2: Convert to fraction form
    32,161.16/48,241.74 = 9,974/x
  3. Step 3: Cross multiply
    32,161.16x = 48,241.74 × 9,974
  4. Step 4: Simplify right side
    32,161.16x = 481,163,114.76
  5. Step 5: Solve for x
    x = 481,163,114.76/32,161.16
  6. Step 6: Final answer
    x = 14,961

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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.