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Finding the Fourth Proportional to 82,912.68, 114,387.06 and 51,026.22

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Solution

The fourth proportional to 82,912.68, 114,387.06 and 51,026.22 is: 70,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.68 : 114,387.06 = 51,026.22 : x
  2. Step 2: Convert to fraction form
    82,912.68/114,387.06 = 51,026.22/x
  3. Step 3: Cross multiply
    82,912.68x = 114,387.06 × 51,026.22
  4. Step 4: Simplify right side
    82,912.68x = 5,836,739,288.71
  5. Step 5: Solve for x
    x = 5,836,739,288.71/82,912.68
  6. Step 6: Final answer
    x = 70,396.22

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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.