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Finding the Fourth Proportional to 41,407.76, 57,142.84 and 22,545

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Solution

The fourth proportional to 41,407.76, 57,142.84 and 22,545 is: 31,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.76 : 57,142.84 = 22,545 : x
  2. Step 2: Convert to fraction form
    41,407.76/57,142.84 = 22,545/x
  3. Step 3: Cross multiply
    41,407.76x = 57,142.84 × 22,545
  4. Step 4: Simplify right side
    41,407.76x = 1,288,285,327.80
  5. Step 5: Solve for x
    x = 1,288,285,327.80/41,407.76
  6. Step 6: Final answer
    x = 31,112.17

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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.