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Finding the Fourth Proportional to 82,002.90, 122,907.15 and 34,617.90

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Solution

The fourth proportional to 82,002.90, 122,907.15 and 34,617.90 is: 51,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.90 : 122,907.15 = 34,617.90 : x
  2. Step 2: Convert to fraction form
    82,002.90/122,907.15 = 34,617.90/x
  3. Step 3: Cross multiply
    82,002.90x = 122,907.15 × 34,617.90
  4. Step 4: Simplify right side
    82,002.90x = 4,254,787,427.99
  5. Step 5: Solve for x
    x = 4,254,787,427.99/82,002.90
  6. Step 6: Final answer
    x = 51,885.82

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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.