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Finding the Fourth Proportional to 81,057.34, 111,839.43 and 47,516.86

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Solution

The fourth proportional to 81,057.34, 111,839.43 and 47,516.86 is: 65,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.34 : 111,839.43 = 47,516.86 : x
  2. Step 2: Convert to fraction form
    81,057.34/111,839.43 = 47,516.86/x
  3. Step 3: Cross multiply
    81,057.34x = 111,839.43 × 47,516.86
  4. Step 4: Simplify right side
    81,057.34x = 5,314,258,537.79
  5. Step 5: Solve for x
    x = 5,314,258,537.79/81,057.34
  6. Step 6: Final answer
    x = 65,561.72

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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.