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Finding the Fourth Proportional to 82,002.90, 123,004.35 and 22,847.70

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Solution

The fourth proportional to 82,002.90, 123,004.35 and 22,847.70 is: 34,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.90 : 123,004.35 = 22,847.70 : x
  2. Step 2: Convert to fraction form
    82,002.90/123,004.35 = 22,847.70/x
  3. Step 3: Cross multiply
    82,002.90x = 123,004.35 × 22,847.70
  4. Step 4: Simplify right side
    82,002.90x = 2,810,366,487.50
  5. Step 5: Solve for x
    x = 2,810,366,487.50/82,002.90
  6. Step 6: Final answer
    x = 34,271.55

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