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Finding the Fourth Proportional to 83,971.10, 125,847.30 and 34,010.30

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Solution

The fourth proportional to 83,971.10, 125,847.30 and 34,010.30 is: 50,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.10 : 125,847.30 = 34,010.30 : x
  2. Step 2: Convert to fraction form
    83,971.10/125,847.30 = 34,010.30/x
  3. Step 3: Cross multiply
    83,971.10x = 125,847.30 × 34,010.30
  4. Step 4: Simplify right side
    83,971.10x = 4,280,104,427.19
  5. Step 5: Solve for x
    x = 4,280,104,427.19/83,971.10
  6. Step 6: Final answer
    x = 50,971.16

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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.