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Finding the Fourth Proportional to 29,601, 40,849.38 and 16,353

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Solution

The fourth proportional to 29,601, 40,849.38 and 16,353 is: 22,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 40,849.38 = 16,353 : x
  2. Step 2: Convert to fraction form
    29,601/40,849.38 = 16,353/x
  3. Step 3: Cross multiply
    29,601x = 40,849.38 × 16,353
  4. Step 4: Simplify right side
    29,601x = 668,009,911.14
  5. Step 5: Solve for x
    x = 668,009,911.14/29,601
  6. Step 6: Final answer
    x = 22,567.14

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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.