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Finding the Fourth Proportional to 32,225.82, 48,356.01 and 13,753.50

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Solution

The fourth proportional to 32,225.82, 48,356.01 and 13,753.50 is: 20,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.82 : 48,356.01 = 13,753.50 : x
  2. Step 2: Convert to fraction form
    32,225.82/48,356.01 = 13,753.50/x
  3. Step 3: Cross multiply
    32,225.82x = 48,356.01 × 13,753.50
  4. Step 4: Simplify right side
    32,225.82x = 665,064,383.54
  5. Step 5: Solve for x
    x = 665,064,383.54/32,225.82
  6. Step 6: Final answer
    x = 20,637.62

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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.