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Finding the Fourth Proportional to 29,851, 41,191.68 and 16,422.82

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Solution

The fourth proportional to 29,851, 41,191.68 and 16,422.82 is: 22,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851 : 41,191.68 = 16,422.82 : x
  2. Step 2: Convert to fraction form
    29,851/41,191.68 = 16,422.82/x
  3. Step 3: Cross multiply
    29,851x = 41,191.68 × 16,422.82
  4. Step 4: Simplify right side
    29,851x = 676,483,546.14
  5. Step 5: Solve for x
    x = 676,483,546.14/29,851
  6. Step 6: Final answer
    x = 22,662.01

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1.5x scale

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.