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Finding the Fourth Proportional to 32,446.58, 48,674.93 and 10,257.84

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Solution

The fourth proportional to 32,446.58, 48,674.93 and 10,257.84 is: 15,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.58 : 48,674.93 = 10,257.84 : x
  2. Step 2: Convert to fraction form
    32,446.58/48,674.93 = 10,257.84/x
  3. Step 3: Cross multiply
    32,446.58x = 48,674.93 × 10,257.84
  4. Step 4: Simplify right side
    32,446.58x = 499,299,592.66
  5. Step 5: Solve for x
    x = 499,299,592.66/32,446.58
  6. Step 6: Final answer
    x = 15,388.36

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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.