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Finding the Fourth Proportional to 29,530.98, 40,752 and 16,102.26

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Solution

The fourth proportional to 29,530.98, 40,752 and 16,102.26 is: 22,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,530.98 : 40,752 = 16,102.26 : x
  2. Step 2: Convert to fraction form
    29,530.98/40,752 = 16,102.26/x
  3. Step 3: Cross multiply
    29,530.98x = 40,752 × 16,102.26
  4. Step 4: Simplify right side
    29,530.98x = 656,199,299.52
  5. Step 5: Solve for x
    x = 656,199,299.52/29,530.98
  6. Step 6: Final answer
    x = 22,220.71

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