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Finding the Fourth Proportional to 29,982.16, 41,412.12 and 22,462.12

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Solution

The fourth proportional to 29,982.16, 41,412.12 and 22,462.12 is: 31,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.16 : 41,412.12 = 22,462.12 : x
  2. Step 2: Convert to fraction form
    29,982.16/41,412.12 = 22,462.12/x
  3. Step 3: Cross multiply
    29,982.16x = 41,412.12 × 22,462.12
  4. Step 4: Simplify right side
    29,982.16x = 930,204,008.89
  5. Step 5: Solve for x
    x = 930,204,008.89/29,982.16
  6. Step 6: Final answer
    x = 31,025.25

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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.