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Finding the Fourth Proportional to 32,656.80, 48,961.20 and 10,457.44

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Solution

The fourth proportional to 32,656.80, 48,961.20 and 10,457.44 is: 15,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.80 : 48,961.20 = 10,457.44 : x
  2. Step 2: Convert to fraction form
    32,656.80/48,961.20 = 10,457.44/x
  3. Step 3: Cross multiply
    32,656.80x = 48,961.20 × 10,457.44
  4. Step 4: Simplify right side
    32,656.80x = 512,008,811.33
  5. Step 5: Solve for x
    x = 512,008,811.33/32,656.80
  6. Step 6: Final answer
    x = 15,678.47

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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.