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Finding the Fourth Proportional to 32,122.96, 48,172.48 and 11,057.12

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Solution

The fourth proportional to 32,122.96, 48,172.48 and 11,057.12 is: 16,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.96 : 48,172.48 = 11,057.12 : x
  2. Step 2: Convert to fraction form
    32,122.96/48,172.48 = 11,057.12/x
  3. Step 3: Cross multiply
    32,122.96x = 48,172.48 × 11,057.12
  4. Step 4: Simplify right side
    32,122.96x = 532,648,892.06
  5. Step 5: Solve for x
    x = 532,648,892.06/32,122.96
  6. Step 6: Final answer
    x = 16,581.56

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1.5x scale

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.