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Finding the Fourth Proportional to 29,353.70, 40,486.98 and 20,282.24

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Solution

The fourth proportional to 29,353.70, 40,486.98 and 20,282.24 is: 27,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,353.70 : 40,486.98 = 20,282.24 : x
  2. Step 2: Convert to fraction form
    29,353.70/40,486.98 = 20,282.24/x
  3. Step 3: Cross multiply
    29,353.70x = 40,486.98 × 20,282.24
  4. Step 4: Simplify right side
    29,353.70x = 821,166,645.24
  5. Step 5: Solve for x
    x = 821,166,645.24/29,353.70
  6. Step 6: Final answer
    x = 27,974.89

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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.