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Finding the Fourth Proportional to 35,231.64, 52,814.04 and 13,029.94

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Solution

The fourth proportional to 35,231.64, 52,814.04 and 13,029.94 is: 19,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.64 : 52,814.04 = 13,029.94 : x
  2. Step 2: Convert to fraction form
    35,231.64/52,814.04 = 13,029.94/x
  3. Step 3: Cross multiply
    35,231.64x = 52,814.04 × 13,029.94
  4. Step 4: Simplify right side
    35,231.64x = 688,163,772.36
  5. Step 5: Solve for x
    x = 688,163,772.36/35,231.64
  6. Step 6: Final answer
    x = 19,532.55

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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.