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Finding the Fourth Proportional to 29,719.84, 41,006.16 and 16,471.84

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Solution

The fourth proportional to 29,719.84, 41,006.16 and 16,471.84 is: 22,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719.84 : 41,006.16 = 16,471.84 : x
  2. Step 2: Convert to fraction form
    29,719.84/41,006.16 = 16,471.84/x
  3. Step 3: Cross multiply
    29,719.84x = 41,006.16 × 16,471.84
  4. Step 4: Simplify right side
    29,719.84x = 675,446,906.53
  5. Step 5: Solve for x
    x = 675,446,906.53/29,719.84
  6. Step 6: Final answer
    x = 22,727.14

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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.