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Finding the Fourth Proportional to 35,295.21, 52,952.00 and 13,114.98

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Solution

The fourth proportional to 35,295.21, 52,952.00 and 13,114.98 is: 19,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.21 : 52,952.00 = 13,114.98 : x
  2. Step 2: Convert to fraction form
    35,295.21/52,952.00 = 13,114.98/x
  3. Step 3: Cross multiply
    35,295.21x = 52,952.00 × 13,114.98
  4. Step 4: Simplify right side
    35,295.21x = 694,464,355.39
  5. Step 5: Solve for x
    x = 694,464,355.39/35,295.21
  6. Step 6: Final answer
    x = 19,675.88

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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.