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Finding the Fourth Proportional to 82,912.76, 114,419.40 and 45,186.92

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Solution

The fourth proportional to 82,912.76, 114,419.40 and 45,186.92 is: 62,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.76 : 114,419.40 = 45,186.92 : x
  2. Step 2: Convert to fraction form
    82,912.76/114,419.40 = 45,186.92/x
  3. Step 3: Cross multiply
    82,912.76x = 114,419.40 × 45,186.92
  4. Step 4: Simplify right side
    82,912.76x = 5,170,260,274.25
  5. Step 5: Solve for x
    x = 5,170,260,274.25/82,912.76
  6. Step 6: Final answer
    x = 62,357.84

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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.