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Finding the Fourth Proportional to 41,505, 57,276.90 and 22,642.20

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Solution

The fourth proportional to 41,505, 57,276.90 and 22,642.20 is: 31,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505 : 57,276.90 = 22,642.20 : x
  2. Step 2: Convert to fraction form
    41,505/57,276.90 = 22,642.20/x
  3. Step 3: Cross multiply
    41,505x = 57,276.90 × 22,642.20
  4. Step 4: Simplify right side
    41,505x = 1,296,875,025.18
  5. Step 5: Solve for x
    x = 1,296,875,025.18/41,505
  6. Step 6: Final answer
    x = 31,246.24

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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.