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Finding the Fourth Proportional to 32,287.64, 48,437.50 and 11,226.84

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Solution

The fourth proportional to 32,287.64, 48,437.50 and 11,226.84 is: 16,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.64 : 48,437.50 = 11,226.84 : x
  2. Step 2: Convert to fraction form
    32,287.64/48,437.50 = 11,226.84/x
  3. Step 3: Cross multiply
    32,287.64x = 48,437.50 × 11,226.84
  4. Step 4: Simplify right side
    32,287.64x = 543,800,062.50
  5. Step 5: Solve for x
    x = 543,800,062.50/32,287.64
  6. Step 6: Final answer
    x = 16,842.36

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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.