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Finding the Fourth Proportional to 32,162.74, 48,248.78 and 9,977.88

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Solution

The fourth proportional to 32,162.74, 48,248.78 and 9,977.88 is: 14,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.74 : 48,248.78 = 9,977.88 : x
  2. Step 2: Convert to fraction form
    32,162.74/48,248.78 = 9,977.88/x
  3. Step 3: Cross multiply
    32,162.74x = 48,248.78 × 9,977.88
  4. Step 4: Simplify right side
    32,162.74x = 481,420,536.99
  5. Step 5: Solve for x
    x = 481,420,536.99/32,162.74
  6. Step 6: Final answer
    x = 14,968.27

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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.