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Finding the Fourth Proportional to 35,005.50, 52,532.57 and 14,229.02

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Solution

The fourth proportional to 35,005.50, 52,532.57 and 14,229.02 is: 21,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,005.50 : 52,532.57 = 14,229.02 : x
  2. Step 2: Convert to fraction form
    35,005.50/52,532.57 = 14,229.02/x
  3. Step 3: Cross multiply
    35,005.50x = 52,532.57 × 14,229.02
  4. Step 4: Simplify right side
    35,005.50x = 747,486,989.18
  5. Step 5: Solve for x
    x = 747,486,989.18/35,005.50
  6. Step 6: Final answer
    x = 21,353.42

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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.