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Finding the Fourth Proportional to 36,005.10, 54,000.09 and 9,703.50

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Solution

The fourth proportional to 36,005.10, 54,000.09 and 9,703.50 is: 14,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,005.10 : 54,000.09 = 9,703.50 : x
  2. Step 2: Convert to fraction form
    36,005.10/54,000.09 = 9,703.50/x
  3. Step 3: Cross multiply
    36,005.10x = 54,000.09 × 9,703.50
  4. Step 4: Simplify right side
    36,005.10x = 523,989,873.32
  5. Step 5: Solve for x
    x = 523,989,873.32/36,005.10
  6. Step 6: Final answer
    x = 14,553.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.