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Finding the Fourth Proportional to 64,297.60, 96,475.20 and 29,219.20

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Solution

The fourth proportional to 64,297.60, 96,475.20 and 29,219.20 is: 43,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,297.60 : 96,475.20 = 29,219.20 : x
  2. Step 2: Convert to fraction form
    64,297.60/96,475.20 = 29,219.20/x
  3. Step 3: Cross multiply
    64,297.60x = 96,475.20 × 29,219.20
  4. Step 4: Simplify right side
    64,297.60x = 2,818,928,163.84
  5. Step 5: Solve for x
    x = 2,818,928,163.84/64,297.60
  6. Step 6: Final answer
    x = 43,841.89

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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.