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Finding the Fourth Proportional to 82,777.81, 124,170.81 and 23,622.19

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Solution

The fourth proportional to 82,777.81, 124,170.81 and 23,622.19 is: 35,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.81 : 124,170.81 = 23,622.19 : x
  2. Step 2: Convert to fraction form
    82,777.81/124,170.81 = 23,622.19/x
  3. Step 3: Cross multiply
    82,777.81x = 124,170.81 × 23,622.19
  4. Step 4: Simplify right side
    82,777.81x = 2,933,186,466.27
  5. Step 5: Solve for x
    x = 2,933,186,466.27/82,777.81
  6. Step 6: Final answer
    x = 35,434.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.