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Finding the Fourth Proportional to 29,035.68, 40,069.24 and 16,460.42

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Solution

The fourth proportional to 29,035.68, 40,069.24 and 16,460.42 is: 22,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,035.68 : 40,069.24 = 16,460.42 : x
  2. Step 2: Convert to fraction form
    29,035.68/40,069.24 = 16,460.42/x
  3. Step 3: Cross multiply
    29,035.68x = 40,069.24 × 16,460.42
  4. Step 4: Simplify right side
    29,035.68x = 659,556,519.48
  5. Step 5: Solve for x
    x = 659,556,519.48/29,035.68
  6. Step 6: Final answer
    x = 22,715.38

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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.