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Finding the Fourth Proportional to 32,084.24, 48,114.36 and 11,018.28

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Solution

The fourth proportional to 32,084.24, 48,114.36 and 11,018.28 is: 16,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.24 : 48,114.36 = 11,018.28 : x
  2. Step 2: Convert to fraction form
    32,084.24/48,114.36 = 11,018.28/x
  3. Step 3: Cross multiply
    32,084.24x = 48,114.36 × 11,018.28
  4. Step 4: Simplify right side
    32,084.24x = 530,137,490.50
  5. Step 5: Solve for x
    x = 530,137,490.50/32,084.24
  6. Step 6: Final answer
    x = 16,523.30

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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.