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Finding the Fourth Proportional to 82,912.60, 114,420.90 and 47,101.96

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Solution

The fourth proportional to 82,912.60, 114,420.90 and 47,101.96 is: 65,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.60 : 114,420.90 = 47,101.96 : x
  2. Step 2: Convert to fraction form
    82,912.60/114,420.90 = 47,101.96/x
  3. Step 3: Cross multiply
    82,912.60x = 114,420.90 × 47,101.96
  4. Step 4: Simplify right side
    82,912.60x = 5,389,448,654.96
  5. Step 5: Solve for x
    x = 5,389,448,654.96/82,912.60
  6. Step 6: Final answer
    x = 65,001.56

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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.