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Finding the Fourth Proportional to 29,697.49, 40,985.95 and 16,952.49

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Solution

The fourth proportional to 29,697.49, 40,985.95 and 16,952.49 is: 23,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.49 : 40,985.95 = 16,952.49 : x
  2. Step 2: Convert to fraction form
    29,697.49/40,985.95 = 16,952.49/x
  3. Step 3: Cross multiply
    29,697.49x = 40,985.95 × 16,952.49
  4. Step 4: Simplify right side
    29,697.49x = 694,813,907.52
  5. Step 5: Solve for x
    x = 694,813,907.52/29,697.49
  6. Step 6: Final answer
    x = 23,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.