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Finding the Fourth Proportional to 41,703, 57,550.14 and 22,840.80

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Solution

The fourth proportional to 41,703, 57,550.14 and 22,840.80 is: 31,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,703 : 57,550.14 = 22,840.80 : x
  2. Step 2: Convert to fraction form
    41,703/57,550.14 = 22,840.80/x
  3. Step 3: Cross multiply
    41,703x = 57,550.14 × 22,840.80
  4. Step 4: Simplify right side
    41,703x = 1,314,491,237.71
  5. Step 5: Solve for x
    x = 1,314,491,237.71/41,703
  6. Step 6: Final answer
    x = 31,520.30

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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.