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Finding the Fourth Proportional to 71,025.64, 97,982.82 and 41,211.88

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Solution

The fourth proportional to 71,025.64, 97,982.82 and 41,211.88 is: 56,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,025.64 : 97,982.82 = 41,211.88 : x
  2. Step 2: Convert to fraction form
    71,025.64/97,982.82 = 41,211.88/x
  3. Step 3: Cross multiply
    71,025.64x = 97,982.82 × 41,211.88
  4. Step 4: Simplify right side
    71,025.64x = 4,038,056,219.90
  5. Step 5: Solve for x
    x = 4,038,056,219.90/71,025.64
  6. Step 6: Final answer
    x = 56,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.