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Finding the Fourth Proportional to 29,451, 40,642.38 and 16,203

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Solution

The fourth proportional to 29,451, 40,642.38 and 16,203 is: 22,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451 : 40,642.38 = 16,203 : x
  2. Step 2: Convert to fraction form
    29,451/40,642.38 = 16,203/x
  3. Step 3: Cross multiply
    29,451x = 40,642.38 × 16,203
  4. Step 4: Simplify right side
    29,451x = 658,528,483.14
  5. Step 5: Solve for x
    x = 658,528,483.14/29,451
  6. Step 6: Final answer
    x = 22,360.14

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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.