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Finding the Fourth Proportional to 41,871.60, 57,786 and 23,972.16

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Solution

The fourth proportional to 41,871.60, 57,786 and 23,972.16 is: 33,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871.60 : 57,786 = 23,972.16 : x
  2. Step 2: Convert to fraction form
    41,871.60/57,786 = 23,972.16/x
  3. Step 3: Cross multiply
    41,871.60x = 57,786 × 23,972.16
  4. Step 4: Simplify right side
    41,871.60x = 1,385,255,237.76
  5. Step 5: Solve for x
    x = 1,385,255,237.76/41,871.60
  6. Step 6: Final answer
    x = 33,083.41

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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.