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Finding the Fourth Proportional to 82,757.28, 114,258.96 and 54,510.96

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Solution

The fourth proportional to 82,757.28, 114,258.96 and 54,510.96 is: 75,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,757.28 : 114,258.96 = 54,510.96 : x
  2. Step 2: Convert to fraction form
    82,757.28/114,258.96 = 54,510.96/x
  3. Step 3: Cross multiply
    82,757.28x = 114,258.96 × 54,510.96
  4. Step 4: Simplify right side
    82,757.28x = 6,228,365,598.20
  5. Step 5: Solve for x
    x = 6,228,365,598.20/82,757.28
  6. Step 6: Final answer
    x = 75,260.64

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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.