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Finding the Fourth Proportional to 32,137.84, 48,210.36 and 8,764.48

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Solution

The fourth proportional to 32,137.84, 48,210.36 and 8,764.48 is: 13,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.84 : 48,210.36 = 8,764.48 : x
  2. Step 2: Convert to fraction form
    32,137.84/48,210.36 = 8,764.48/x
  3. Step 3: Cross multiply
    32,137.84x = 48,210.36 × 8,764.48
  4. Step 4: Simplify right side
    32,137.84x = 422,538,736.01
  5. Step 5: Solve for x
    x = 422,538,736.01/32,137.84
  6. Step 6: Final answer
    x = 13,147.70

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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.