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Finding the Fourth Proportional to 32,063.04, 48,094.02 and 11,286

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Solution

The fourth proportional to 32,063.04, 48,094.02 and 11,286 is: 16,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,063.04 : 48,094.02 = 11,286 : x
  2. Step 2: Convert to fraction form
    32,063.04/48,094.02 = 11,286/x
  3. Step 3: Cross multiply
    32,063.04x = 48,094.02 × 11,286
  4. Step 4: Simplify right side
    32,063.04x = 542,789,109.72
  5. Step 5: Solve for x
    x = 542,789,109.72/32,063.04
  6. Step 6: Final answer
    x = 16,928.81

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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.