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Finding the Fourth Proportional to 32,997.60, 49,464 and 15,458.40

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Solution

The fourth proportional to 32,997.60, 49,464 and 15,458.40 is: 23,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.60 : 49,464 = 15,458.40 : x
  2. Step 2: Convert to fraction form
    32,997.60/49,464 = 15,458.40/x
  3. Step 3: Cross multiply
    32,997.60x = 49,464 × 15,458.40
  4. Step 4: Simplify right side
    32,997.60x = 764,634,297.60
  5. Step 5: Solve for x
    x = 764,634,297.60/32,997.60
  6. Step 6: Final answer
    x = 23,172.42

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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.