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Finding the Fourth Proportional to 41,714.56, 57,552 and 23,796.96

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Solution

The fourth proportional to 41,714.56, 57,552 and 23,796.96 is: 32,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,714.56 : 57,552 = 23,796.96 : x
  2. Step 2: Convert to fraction form
    41,714.56/57,552 = 23,796.96/x
  3. Step 3: Cross multiply
    41,714.56x = 57,552 × 23,796.96
  4. Step 4: Simplify right side
    41,714.56x = 1,369,562,641.92
  5. Step 5: Solve for x
    x = 1,369,562,641.92/41,714.56
  6. Step 6: Final answer
    x = 32,831.77

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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.