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Finding the Fourth Proportional to 29,882.14, 41,237.05 and 16,453.14

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Solution

The fourth proportional to 29,882.14, 41,237.05 and 16,453.14 is: 22,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.14 : 41,237.05 = 16,453.14 : x
  2. Step 2: Convert to fraction form
    29,882.14/41,237.05 = 16,453.14/x
  3. Step 3: Cross multiply
    29,882.14x = 41,237.05 × 16,453.14
  4. Step 4: Simplify right side
    29,882.14x = 678,478,956.84
  5. Step 5: Solve for x
    x = 678,478,956.84/29,882.14
  6. Step 6: Final answer
    x = 22,705.17

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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.