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Finding the Fourth Proportional to 29,903.13, 41,266.34 and 16,474.38

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Solution

The fourth proportional to 29,903.13, 41,266.34 and 16,474.38 is: 22,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,903.13 : 41,266.34 = 16,474.38 : x
  2. Step 2: Convert to fraction form
    29,903.13/41,266.34 = 16,474.38/x
  3. Step 3: Cross multiply
    29,903.13x = 41,266.34 × 16,474.38
  4. Step 4: Simplify right side
    29,903.13x = 679,837,284.00
  5. Step 5: Solve for x
    x = 679,837,284.00/29,903.13
  6. Step 6: Final answer
    x = 22,734.65

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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.