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Finding the Fourth Proportional to 41,603, 57,412.14 and 22,740.20

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Solution

The fourth proportional to 41,603, 57,412.14 and 22,740.20 is: 31,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,603 : 57,412.14 = 22,740.20 : x
  2. Step 2: Convert to fraction form
    41,603/57,412.14 = 22,740.20/x
  3. Step 3: Cross multiply
    41,603x = 57,412.14 × 22,740.20
  4. Step 4: Simplify right side
    41,603x = 1,305,563,546.03
  5. Step 5: Solve for x
    x = 1,305,563,546.03/41,603
  6. Step 6: Final answer
    x = 31,381.48

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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.