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Finding the Fourth Proportional to 82,902.81, 124,361.71 and 22,935.04

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Solution

The fourth proportional to 82,902.81, 124,361.71 and 22,935.04 is: 34,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.81 : 124,361.71 = 22,935.04 : x
  2. Step 2: Convert to fraction form
    82,902.81/124,361.71 = 22,935.04/x
  3. Step 3: Cross multiply
    82,902.81x = 124,361.71 × 22,935.04
  4. Step 4: Simplify right side
    82,902.81x = 2,852,240,793.32
  5. Step 5: Solve for x
    x = 2,852,240,793.32/82,902.81
  6. Step 6: Final answer
    x = 34,404.63

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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.