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Finding the Fourth Proportional to 41,715, 57,567.24 and 22,852.80

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Solution

The fourth proportional to 41,715, 57,567.24 and 22,852.80 is: 31,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 57,567.24 = 22,852.80 : x
  2. Step 2: Convert to fraction form
    41,715/57,567.24 = 22,852.80/x
  3. Step 3: Cross multiply
    41,715x = 57,567.24 × 22,852.80
  4. Step 4: Simplify right side
    41,715x = 1,315,572,622.27
  5. Step 5: Solve for x
    x = 1,315,572,622.27/41,715
  6. Step 6: Final answer
    x = 31,537.16

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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.