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Finding the Fourth Proportional to 82,264.37, 123,435.74 and 57,002.84

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Solution

The fourth proportional to 82,264.37, 123,435.74 and 57,002.84 is: 85,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264.37 : 123,435.74 = 57,002.84 : x
  2. Step 2: Convert to fraction form
    82,264.37/123,435.74 = 57,002.84/x
  3. Step 3: Cross multiply
    82,264.37x = 123,435.74 × 57,002.84
  4. Step 4: Simplify right side
    82,264.37x = 7,036,187,737.50
  5. Step 5: Solve for x
    x = 7,036,187,737.50/82,264.37
  6. Step 6: Final answer
    x = 85,531.41

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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.